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Finding the Fourth Proportional to 49,594.50, 74,392.16 and 18,429.75

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Solution

The fourth proportional to 49,594.50, 74,392.16 and 18,429.75 is: 27,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,594.50 : 74,392.16 = 18,429.75 : x
  2. Step 2: Convert to fraction form
    49,594.50/74,392.16 = 18,429.75/x
  3. Step 3: Cross multiply
    49,594.50x = 74,392.16 × 18,429.75
  4. Step 4: Simplify right side
    49,594.50x = 1,371,028,818.61
  5. Step 5: Solve for x
    x = 1,371,028,818.61/49,594.50
  6. Step 6: Final answer
    x = 27,644.78

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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.