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Finding the Fourth Proportional to 71,681.60, 98,921.84 and 39,417.60

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Solution

The fourth proportional to 71,681.60, 98,921.84 and 39,417.60 is: 54,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681.60 : 98,921.84 = 39,417.60 : x
  2. Step 2: Convert to fraction form
    71,681.60/98,921.84 = 39,417.60/x
  3. Step 3: Cross multiply
    71,681.60x = 98,921.84 × 39,417.60
  4. Step 4: Simplify right side
    71,681.60x = 3,899,261,520.38
  5. Step 5: Solve for x
    x = 3,899,261,520.38/71,681.60
  6. Step 6: Final answer
    x = 54,396.97

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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.