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Finding the Fourth Proportional to 32,227.17, 48,283.56 and 13,465.92

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Solution

The fourth proportional to 32,227.17, 48,283.56 and 13,465.92 is: 20,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.17 : 48,283.56 = 13,465.92 : x
  2. Step 2: Convert to fraction form
    32,227.17/48,283.56 = 13,465.92/x
  3. Step 3: Cross multiply
    32,227.17x = 48,283.56 × 13,465.92
  4. Step 4: Simplify right side
    32,227.17x = 650,182,556.28
  5. Step 5: Solve for x
    x = 650,182,556.28/32,227.17
  6. Step 6: Final answer
    x = 20,174.98

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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.