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Finding the Fourth Proportional to 49,713.96, 74,582.61 and 16,434.02

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Solution

The fourth proportional to 49,713.96, 74,582.61 and 16,434.02 is: 24,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,713.96 : 74,582.61 = 16,434.02 : x
  2. Step 2: Convert to fraction form
    49,713.96/74,582.61 = 16,434.02/x
  3. Step 3: Cross multiply
    49,713.96x = 74,582.61 × 16,434.02
  4. Step 4: Simplify right side
    49,713.96x = 1,225,691,649.31
  5. Step 5: Solve for x
    x = 1,225,691,649.31/49,713.96
  6. Step 6: Final answer
    x = 24,654.88

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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.