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Finding the Fourth Proportional to 57,492.20, 86,123.10 and 32,839.40

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Solution

The fourth proportional to 57,492.20, 86,123.10 and 32,839.40 is: 49,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492.20 : 86,123.10 = 32,839.40 : x
  2. Step 2: Convert to fraction form
    57,492.20/86,123.10 = 32,839.40/x
  3. Step 3: Cross multiply
    57,492.20x = 86,123.10 × 32,839.40
  4. Step 4: Simplify right side
    57,492.20x = 2,828,230,930.14
  5. Step 5: Solve for x
    x = 2,828,230,930.14/57,492.20
  6. Step 6: Final answer
    x = 49,193.30

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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.