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Finding the Fourth Proportional to 91,897, 137,836.86 and 32,730.28

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Solution

The fourth proportional to 91,897, 137,836.86 and 32,730.28 is: 49,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,897 : 137,836.86 = 32,730.28 : x
  2. Step 2: Convert to fraction form
    91,897/137,836.86 = 32,730.28/x
  3. Step 3: Cross multiply
    91,897x = 137,836.86 × 32,730.28
  4. Step 4: Simplify right side
    91,897x = 4,511,439,022.12
  5. Step 5: Solve for x
    x = 4,511,439,022.12/91,897
  6. Step 6: Final answer
    x = 49,092.34

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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.