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Finding the Fourth Proportional to 32,032.80, 48,289.50 and 29,892

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Solution

The fourth proportional to 32,032.80, 48,289.50 and 29,892 is: 45,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.80 : 48,289.50 = 29,892 : x
  2. Step 2: Convert to fraction form
    32,032.80/48,289.50 = 29,892/x
  3. Step 3: Cross multiply
    32,032.80x = 48,289.50 × 29,892
  4. Step 4: Simplify right side
    32,032.80x = 1,443,469,734
  5. Step 5: Solve for x
    x = 1,443,469,734/32,032.80
  6. Step 6: Final answer
    x = 45,062.24

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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.