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Finding the Fourth Proportional to 61,563.32, 92,312.16 and 31,951.34

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Solution

The fourth proportional to 61,563.32, 92,312.16 and 31,951.34 is: 47,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,563.32 : 92,312.16 = 31,951.34 : x
  2. Step 2: Convert to fraction form
    61,563.32/92,312.16 = 31,951.34/x
  3. Step 3: Cross multiply
    61,563.32x = 92,312.16 × 31,951.34
  4. Step 4: Simplify right side
    61,563.32x = 2,949,497,210.29
  5. Step 5: Solve for x
    x = 2,949,497,210.29/61,563.32
  6. Step 6: Final answer
    x = 47,909.98

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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.