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Finding the Fourth Proportional to 82,385.18, 123,492.92 and 32,445.04

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Solution

The fourth proportional to 82,385.18, 123,492.92 and 32,445.04 is: 48,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,385.18 : 123,492.92 = 32,445.04 : x
  2. Step 2: Convert to fraction form
    82,385.18/123,492.92 = 32,445.04/x
  3. Step 3: Cross multiply
    82,385.18x = 123,492.92 × 32,445.04
  4. Step 4: Simplify right side
    82,385.18x = 4,006,732,501.50
  5. Step 5: Solve for x
    x = 4,006,732,501.50/82,385.18
  6. Step 6: Final answer
    x = 48,634.14

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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.