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Finding the Fourth Proportional to 32,513.57, 48,769.66 and 14,983.40

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Solution

The fourth proportional to 32,513.57, 48,769.66 and 14,983.40 is: 22,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.57 : 48,769.66 = 14,983.40 : x
  2. Step 2: Convert to fraction form
    32,513.57/48,769.66 = 14,983.40/x
  3. Step 3: Cross multiply
    32,513.57x = 48,769.66 × 14,983.40
  4. Step 4: Simplify right side
    32,513.57x = 730,735,189.97
  5. Step 5: Solve for x
    x = 730,735,189.97/32,513.57
  6. Step 6: Final answer
    x = 22,474.78

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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.