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Finding the Fourth Proportional to 53,428,512.80, 80,142,769.20 and 30,753,696.80

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Solution

The fourth proportional to 53,428,512.80, 80,142,769.20 and 30,753,696.80 is: 46,130,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428,512.80 : 80,142,769.20 = 30,753,696.80 : x
  2. Step 2: Convert to fraction form
    53,428,512.80/80,142,769.20 = 30,753,696.80/x
  3. Step 3: Cross multiply
    53,428,512.80x = 80,142,769.20 × 30,753,696.80
  4. Step 4: Simplify right side
    53,428,512.80x = 2,464,686,424,689,178.50
  5. Step 5: Solve for x
    x = 2,464,686,424,689,178.50/53,428,512.80
  6. Step 6: Final answer
    x = 46,130,545.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.