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Finding the Fourth Proportional to 32,332.40, 48,484 and 10,140.56

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Solution

The fourth proportional to 32,332.40, 48,484 and 10,140.56 is: 15,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332.40 : 48,484 = 10,140.56 : x
  2. Step 2: Convert to fraction form
    32,332.40/48,484 = 10,140.56/x
  3. Step 3: Cross multiply
    32,332.40x = 48,484 × 10,140.56
  4. Step 4: Simplify right side
    32,332.40x = 491,654,911.04
  5. Step 5: Solve for x
    x = 491,654,911.04/32,332.40
  6. Step 6: Final answer
    x = 15,206.26

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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.