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Finding the Fourth Proportional to 61,951.59, 85,487.89 and 34,357.14

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Solution

The fourth proportional to 61,951.59, 85,487.89 and 34,357.14 is: 47,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,951.59 : 85,487.89 = 34,357.14 : x
  2. Step 2: Convert to fraction form
    61,951.59/85,487.89 = 34,357.14/x
  3. Step 3: Cross multiply
    61,951.59x = 85,487.89 × 34,357.14
  4. Step 4: Simplify right side
    61,951.59x = 2,937,119,405.03
  5. Step 5: Solve for x
    x = 2,937,119,405.03/61,951.59
  6. Step 6: Final answer
    x = 47,409.91

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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.