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Finding the Fourth Proportional to 61,492.20, 92,238.30 and 31,967.70

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Solution

The fourth proportional to 61,492.20, 92,238.30 and 31,967.70 is: 47,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,492.20 : 92,238.30 = 31,967.70 : x
  2. Step 2: Convert to fraction form
    61,492.20/92,238.30 = 31,967.70/x
  3. Step 3: Cross multiply
    61,492.20x = 92,238.30 × 31,967.70
  4. Step 4: Simplify right side
    61,492.20x = 2,948,646,302.91
  5. Step 5: Solve for x
    x = 2,948,646,302.91/61,492.20
  6. Step 6: Final answer
    x = 47,951.55

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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.