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Finding the Fourth Proportional to 47,342.40, 65,335.68 and 27,205.80

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Solution

The fourth proportional to 47,342.40, 65,335.68 and 27,205.80 is: 37,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342.40 : 65,335.68 = 27,205.80 : x
  2. Step 2: Convert to fraction form
    47,342.40/65,335.68 = 27,205.80/x
  3. Step 3: Cross multiply
    47,342.40x = 65,335.68 × 27,205.80
  4. Step 4: Simplify right side
    47,342.40x = 1,777,509,442.94
  5. Step 5: Solve for x
    x = 1,777,509,442.94/47,342.40
  6. Step 6: Final answer
    x = 37,545.82

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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.