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Finding the Fourth Proportional to 32,065.10, 48,097.38 and 8,691.38

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Solution

The fourth proportional to 32,065.10, 48,097.38 and 8,691.38 is: 13,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.10 : 48,097.38 = 8,691.38 : x
  2. Step 2: Convert to fraction form
    32,065.10/48,097.38 = 8,691.38/x
  3. Step 3: Cross multiply
    32,065.10x = 48,097.38 × 8,691.38
  4. Step 4: Simplify right side
    32,065.10x = 418,032,606.58
  5. Step 5: Solve for x
    x = 418,032,606.58/32,065.10
  6. Step 6: Final answer
    x = 13,037.00

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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.