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Finding the Fourth Proportional to 52,069.50, 71,865.63 and 29,713.50

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Solution

The fourth proportional to 52,069.50, 71,865.63 and 29,713.50 is: 41,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.50 : 71,865.63 = 29,713.50 : x
  2. Step 2: Convert to fraction form
    52,069.50/71,865.63 = 29,713.50/x
  3. Step 3: Cross multiply
    52,069.50x = 71,865.63 × 29,713.50
  4. Step 4: Simplify right side
    52,069.50x = 2,135,379,397.01
  5. Step 5: Solve for x
    x = 2,135,379,397.01/52,069.50
  6. Step 6: Final answer
    x = 41,010.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.