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Finding the Fourth Proportional to 32,202.35, 48,294.10 and 12,476.22

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Solution

The fourth proportional to 32,202.35, 48,294.10 and 12,476.22 is: 18,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.35 : 48,294.10 = 12,476.22 : x
  2. Step 2: Convert to fraction form
    32,202.35/48,294.10 = 12,476.22/x
  3. Step 3: Cross multiply
    32,202.35x = 48,294.10 × 12,476.22
  4. Step 4: Simplify right side
    32,202.35x = 602,527,816.30
  5. Step 5: Solve for x
    x = 602,527,816.30/32,202.35
  6. Step 6: Final answer
    x = 18,710.68

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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.