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Finding the Fourth Proportional to 32,314.71, 48,472.08 and 10,128.09

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Solution

The fourth proportional to 32,314.71, 48,472.08 and 10,128.09 is: 15,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.71 : 48,472.08 = 10,128.09 : x
  2. Step 2: Convert to fraction form
    32,314.71/48,472.08 = 10,128.09/x
  3. Step 3: Cross multiply
    32,314.71x = 48,472.08 × 10,128.09
  4. Step 4: Simplify right side
    32,314.71x = 490,929,588.73
  5. Step 5: Solve for x
    x = 490,929,588.73/32,314.71
  6. Step 6: Final answer
    x = 15,192.14

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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.