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Finding the Fourth Proportional to 52,069.89, 71,857.78 and 31,937.90

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Solution

The fourth proportional to 52,069.89, 71,857.78 and 31,937.90 is: 44,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.89 : 71,857.78 = 31,937.90 : x
  2. Step 2: Convert to fraction form
    52,069.89/71,857.78 = 31,937.90/x
  3. Step 3: Cross multiply
    52,069.89x = 71,857.78 × 31,937.90
  4. Step 4: Simplify right side
    52,069.89x = 2,294,986,332.38
  5. Step 5: Solve for x
    x = 2,294,986,332.38/52,069.89
  6. Step 6: Final answer
    x = 44,075.12

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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.