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Finding the Fourth Proportional to 77,275.20, 115,912.80 and 53,428.80

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Solution

The fourth proportional to 77,275.20, 115,912.80 and 53,428.80 is: 80,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.20 : 115,912.80 = 53,428.80 : x
  2. Step 2: Convert to fraction form
    77,275.20/115,912.80 = 53,428.80/x
  3. Step 3: Cross multiply
    77,275.20x = 115,912.80 × 53,428.80
  4. Step 4: Simplify right side
    77,275.20x = 6,193,081,808.64
  5. Step 5: Solve for x
    x = 6,193,081,808.64/77,275.20
  6. Step 6: Final answer
    x = 80,143.20

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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.