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Finding the Fourth Proportional to 49,711.64, 74,579.15 and 16,431.71

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Solution

The fourth proportional to 49,711.64, 74,579.15 and 16,431.71 is: 24,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711.64 : 74,579.15 = 16,431.71 : x
  2. Step 2: Convert to fraction form
    49,711.64/74,579.15 = 16,431.71/x
  3. Step 3: Cross multiply
    49,711.64x = 74,579.15 × 16,431.71
  4. Step 4: Simplify right side
    49,711.64x = 1,225,462,937.00
  5. Step 5: Solve for x
    x = 1,225,462,937.00/49,711.64
  6. Step 6: Final answer
    x = 24,651.43

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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.