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Finding the Fourth Proportional to 61,563.57, 92,312.54 and 31,951.59

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Solution

The fourth proportional to 61,563.57, 92,312.54 and 31,951.59 is: 47,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,563.57 : 92,312.54 = 31,951.59 : x
  2. Step 2: Convert to fraction form
    61,563.57/92,312.54 = 31,951.59/x
  3. Step 3: Cross multiply
    61,563.57x = 92,312.54 × 31,951.59
  4. Step 4: Simplify right side
    61,563.57x = 2,949,532,270.18
  5. Step 5: Solve for x
    x = 2,949,532,270.18/61,563.57
  6. Step 6: Final answer
    x = 47,910.35

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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.