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Finding the Fourth Proportional to 32,193.28, 48,296.76 and 10,006.12

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Solution

The fourth proportional to 32,193.28, 48,296.76 and 10,006.12 is: 15,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.28 : 48,296.76 = 10,006.12 : x
  2. Step 2: Convert to fraction form
    32,193.28/48,296.76 = 10,006.12/x
  3. Step 3: Cross multiply
    32,193.28x = 48,296.76 × 10,006.12
  4. Step 4: Simplify right side
    32,193.28x = 483,263,176.17
  5. Step 5: Solve for x
    x = 483,263,176.17/32,193.28
  6. Step 6: Final answer
    x = 15,011.31

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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.