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Finding the Fourth Proportional to 61,564.57, 92,314.03 and 31,952.59

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Solution

The fourth proportional to 61,564.57, 92,314.03 and 31,952.59 is: 47,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564.57 : 92,314.03 = 31,952.59 : x
  2. Step 2: Convert to fraction form
    61,564.57/92,314.03 = 31,952.59/x
  3. Step 3: Cross multiply
    61,564.57x = 92,314.03 × 31,952.59
  4. Step 4: Simplify right side
    61,564.57x = 2,949,672,351.84
  5. Step 5: Solve for x
    x = 2,949,672,351.84/61,564.57
  6. Step 6: Final answer
    x = 47,911.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.