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Finding the Fourth Proportional to 32,057.45, 48,091.70 and 14,294.42

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Solution

The fourth proportional to 32,057.45, 48,091.70 and 14,294.42 is: 21,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.45 : 48,091.70 = 14,294.42 : x
  2. Step 2: Convert to fraction form
    32,057.45/48,091.70 = 14,294.42/x
  3. Step 3: Cross multiply
    32,057.45x = 48,091.70 × 14,294.42
  4. Step 4: Simplify right side
    32,057.45x = 687,442,753.59
  5. Step 5: Solve for x
    x = 687,442,753.59/32,057.45
  6. Step 6: Final answer
    x = 21,444.09

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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.