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Finding the Fourth Proportional to 53,658.80, 74,049.08 and 29,785.42

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Solution

The fourth proportional to 53,658.80, 74,049.08 and 29,785.42 is: 41,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.80 : 74,049.08 = 29,785.42 : x
  2. Step 2: Convert to fraction form
    53,658.80/74,049.08 = 29,785.42/x
  3. Step 3: Cross multiply
    53,658.80x = 74,049.08 × 29,785.42
  4. Step 4: Simplify right side
    53,658.80x = 2,205,582,948.41
  5. Step 5: Solve for x
    x = 2,205,582,948.41/53,658.80
  6. Step 6: Final answer
    x = 41,103.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.