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Finding the Fourth Proportional to 32,541.46, 48,756.47 and 17,760.75

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Solution

The fourth proportional to 32,541.46, 48,756.47 and 17,760.75 is: 26,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.46 : 48,756.47 = 17,760.75 : x
  2. Step 2: Convert to fraction form
    32,541.46/48,756.47 = 17,760.75/x
  3. Step 3: Cross multiply
    32,541.46x = 48,756.47 × 17,760.75
  4. Step 4: Simplify right side
    32,541.46x = 865,951,385.75
  5. Step 5: Solve for x
    x = 865,951,385.75/32,541.46
  6. Step 6: Final answer
    x = 26,610.71

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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.