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Finding the Fourth Proportional to 32,296.48, 48,453.94 and 10,116.20

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Solution

The fourth proportional to 32,296.48, 48,453.94 and 10,116.20 is: 15,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.48 : 48,453.94 = 10,116.20 : x
  2. Step 2: Convert to fraction form
    32,296.48/48,453.94 = 10,116.20/x
  3. Step 3: Cross multiply
    32,296.48x = 48,453.94 × 10,116.20
  4. Step 4: Simplify right side
    32,296.48x = 490,169,747.83
  5. Step 5: Solve for x
    x = 490,169,747.83/32,296.48
  6. Step 6: Final answer
    x = 15,177.19

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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.