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Finding the Fourth Proportional to 32,175.40, 48,275.76 and 9,990.52

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Solution

The fourth proportional to 32,175.40, 48,275.76 and 9,990.52 is: 14,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.40 : 48,275.76 = 9,990.52 : x
  2. Step 2: Convert to fraction form
    32,175.40/48,275.76 = 9,990.52/x
  3. Step 3: Cross multiply
    32,175.40x = 48,275.76 × 9,990.52
  4. Step 4: Simplify right side
    32,175.40x = 482,299,945.80
  5. Step 5: Solve for x
    x = 482,299,945.80/32,175.40
  6. Step 6: Final answer
    x = 14,989.71

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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.