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Finding the Fourth Proportional to 32,320.76, 48,486 and 10,129.20

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Solution

The fourth proportional to 32,320.76, 48,486 and 10,129.20 is: 15,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,320.76 : 48,486 = 10,129.20 : x
  2. Step 2: Convert to fraction form
    32,320.76/48,486 = 10,129.20/x
  3. Step 3: Cross multiply
    32,320.76x = 48,486 × 10,129.20
  4. Step 4: Simplify right side
    32,320.76x = 491,124,391.20
  5. Step 5: Solve for x
    x = 491,124,391.20/32,320.76
  6. Step 6: Final answer
    x = 15,195.32

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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.