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Finding the Fourth Proportional to 32,308.71, 48,463.14 and 10,124.03

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Solution

The fourth proportional to 32,308.71, 48,463.14 and 10,124.03 is: 15,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.71 : 48,463.14 = 10,124.03 : x
  2. Step 2: Convert to fraction form
    32,308.71/48,463.14 = 10,124.03/x
  3. Step 3: Cross multiply
    32,308.71x = 48,463.14 × 10,124.03
  4. Step 4: Simplify right side
    32,308.71x = 490,642,040.94
  5. Step 5: Solve for x
    x = 490,642,040.94/32,308.71
  6. Step 6: Final answer
    x = 15,186.06

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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.