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Finding the Fourth Proportional to 49,416, 74,124 and 18,251.28

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Solution

The fourth proportional to 49,416, 74,124 and 18,251.28 is: 27,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 74,124 = 18,251.28 : x
  2. Step 2: Convert to fraction form
    49,416/74,124 = 18,251.28/x
  3. Step 3: Cross multiply
    49,416x = 74,124 × 18,251.28
  4. Step 4: Simplify right side
    49,416x = 1,352,857,878.72
  5. Step 5: Solve for x
    x = 1,352,857,878.72/49,416
  6. Step 6: Final answer
    x = 27,376.92

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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.