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Finding the Fourth Proportional to 49,661, 74,476.92 and 14,592.32

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Solution

The fourth proportional to 49,661, 74,476.92 and 14,592.32 is: 21,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,661 : 74,476.92 = 14,592.32 : x
  2. Step 2: Convert to fraction form
    49,661/74,476.92 = 14,592.32/x
  3. Step 3: Cross multiply
    49,661x = 74,476.92 × 14,592.32
  4. Step 4: Simplify right side
    49,661x = 1,086,791,049.25
  5. Step 5: Solve for x
    x = 1,086,791,049.25/49,661
  6. Step 6: Final answer
    x = 21,884.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.