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Finding the Fourth Proportional to 71,447.16, 98,594.52 and 39,615.38

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Solution

The fourth proportional to 71,447.16, 98,594.52 and 39,615.38 is: 54,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,447.16 : 98,594.52 = 39,615.38 : x
  2. Step 2: Convert to fraction form
    71,447.16/98,594.52 = 39,615.38/x
  3. Step 3: Cross multiply
    71,447.16x = 98,594.52 × 39,615.38
  4. Step 4: Simplify right side
    71,447.16x = 3,905,859,103.92
  5. Step 5: Solve for x
    x = 3,905,859,103.92/71,447.16
  6. Step 6: Final answer
    x = 54,667.80

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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.