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Finding the Fourth Proportional to 32,204.10, 48,306.15 and 24,428.10

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Solution

The fourth proportional to 32,204.10, 48,306.15 and 24,428.10 is: 36,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.10 : 48,306.15 = 24,428.10 : x
  2. Step 2: Convert to fraction form
    32,204.10/48,306.15 = 24,428.10/x
  3. Step 3: Cross multiply
    32,204.10x = 48,306.15 × 24,428.10
  4. Step 4: Simplify right side
    32,204.10x = 1,180,027,462.82
  5. Step 5: Solve for x
    x = 1,180,027,462.82/32,204.10
  6. Step 6: Final answer
    x = 36,642.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.