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Finding the Fourth Proportional to 32,315.68, 48,473.52 and 10,129.17

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Solution

The fourth proportional to 32,315.68, 48,473.52 and 10,129.17 is: 15,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315.68 : 48,473.52 = 10,129.17 : x
  2. Step 2: Convert to fraction form
    32,315.68/48,473.52 = 10,129.17/x
  3. Step 3: Cross multiply
    32,315.68x = 48,473.52 × 10,129.17
  4. Step 4: Simplify right side
    32,315.68x = 490,996,524.58
  5. Step 5: Solve for x
    x = 490,996,524.58/32,315.68
  6. Step 6: Final answer
    x = 15,193.76

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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.