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Finding the Fourth Proportional to 32,665.33, 48,998.27 and 10,478.74

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Solution

The fourth proportional to 32,665.33, 48,998.27 and 10,478.74 is: 15,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.33 : 48,998.27 = 10,478.74 : x
  2. Step 2: Convert to fraction form
    32,665.33/48,998.27 = 10,478.74/x
  3. Step 3: Cross multiply
    32,665.33x = 48,998.27 × 10,478.74
  4. Step 4: Simplify right side
    32,665.33x = 513,440,131.78
  5. Step 5: Solve for x
    x = 513,440,131.78/32,665.33
  6. Step 6: Final answer
    x = 15,718.20

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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.