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Finding the Fourth Proportional to 52,034.80, 78,103.40 and 25,769.20

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Solution

The fourth proportional to 52,034.80, 78,103.40 and 25,769.20 is: 38,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.80 : 78,103.40 = 25,769.20 : x
  2. Step 2: Convert to fraction form
    52,034.80/78,103.40 = 25,769.20/x
  3. Step 3: Cross multiply
    52,034.80x = 78,103.40 × 25,769.20
  4. Step 4: Simplify right side
    52,034.80x = 2,012,662,135.28
  5. Step 5: Solve for x
    x = 2,012,662,135.28/52,034.80
  6. Step 6: Final answer
    x = 38,679.16

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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.