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Finding the Fourth Proportional to 32,510.46, 48,733.92 and 15,869.82

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Solution

The fourth proportional to 32,510.46, 48,733.92 and 15,869.82 is: 23,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.46 : 48,733.92 = 15,869.82 : x
  2. Step 2: Convert to fraction form
    32,510.46/48,733.92 = 15,869.82/x
  3. Step 3: Cross multiply
    32,510.46x = 48,733.92 × 15,869.82
  4. Step 4: Simplify right side
    32,510.46x = 773,398,538.29
  5. Step 5: Solve for x
    x = 773,398,538.29/32,510.46
  6. Step 6: Final answer
    x = 23,789.22

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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.