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Finding the Fourth Proportional to 32,780.13, 49,171.22 and 9,087.90

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Solution

The fourth proportional to 32,780.13, 49,171.22 and 9,087.90 is: 13,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.13 : 49,171.22 = 9,087.90 : x
  2. Step 2: Convert to fraction form
    32,780.13/49,171.22 = 9,087.90/x
  3. Step 3: Cross multiply
    32,780.13x = 49,171.22 × 9,087.90
  4. Step 4: Simplify right side
    32,780.13x = 446,862,934.49
  5. Step 5: Solve for x
    x = 446,862,934.49/32,780.13
  6. Step 6: Final answer
    x = 13,632.13

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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.