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Finding the Fourth Proportional to 71,659.38, 98,885.70 and 39,827.19

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Solution

The fourth proportional to 71,659.38, 98,885.70 and 39,827.19 is: 54,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659.38 : 98,885.70 = 39,827.19 : x
  2. Step 2: Convert to fraction form
    71,659.38/98,885.70 = 39,827.19/x
  3. Step 3: Cross multiply
    71,659.38x = 98,885.70 × 39,827.19
  4. Step 4: Simplify right side
    71,659.38x = 3,938,339,562.18
  5. Step 5: Solve for x
    x = 3,938,339,562.18/71,659.38
  6. Step 6: Final answer
    x = 54,959.16

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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.