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Finding the Fourth Proportional to 29,854.87, 44,780.68 and 9,076.75

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Solution

The fourth proportional to 29,854.87, 44,780.68 and 9,076.75 is: 13,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.87 : 44,780.68 = 9,076.75 : x
  2. Step 2: Convert to fraction form
    29,854.87/44,780.68 = 9,076.75/x
  3. Step 3: Cross multiply
    29,854.87x = 44,780.68 × 9,076.75
  4. Step 4: Simplify right side
    29,854.87x = 406,463,037.19
  5. Step 5: Solve for x
    x = 406,463,037.19/29,854.87
  6. Step 6: Final answer
    x = 13,614.63

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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.