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Finding the Fourth Proportional to 71,516.81, 98,692.88 and 39,685.64

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Solution

The fourth proportional to 71,516.81, 98,692.88 and 39,685.64 is: 54,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,516.81 : 98,692.88 = 39,685.64 : x
  2. Step 2: Convert to fraction form
    71,516.81/98,692.88 = 39,685.64/x
  3. Step 3: Cross multiply
    71,516.81x = 98,692.88 × 39,685.64
  4. Step 4: Simplify right side
    71,516.81x = 3,916,689,414.35
  5. Step 5: Solve for x
    x = 3,916,689,414.35/71,516.81
  6. Step 6: Final answer
    x = 54,766.00

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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.