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Finding the Fourth Proportional to 32,022.30, 48,273.65 and 29,881.47

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Solution

The fourth proportional to 32,022.30, 48,273.65 and 29,881.47 is: 45,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.30 : 48,273.65 = 29,881.47 : x
  2. Step 2: Convert to fraction form
    32,022.30/48,273.65 = 29,881.47/x
  3. Step 3: Cross multiply
    32,022.30x = 48,273.65 × 29,881.47
  4. Step 4: Simplify right side
    32,022.30x = 1,442,487,474.86
  5. Step 5: Solve for x
    x = 1,442,487,474.86/32,022.30
  6. Step 6: Final answer
    x = 45,046.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.