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Finding the Fourth Proportional to 49,580.68, 74,185.13 and 29,516.78

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Solution

The fourth proportional to 49,580.68, 74,185.13 and 29,516.78 is: 44,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,580.68 : 74,185.13 = 29,516.78 : x
  2. Step 2: Convert to fraction form
    49,580.68/74,185.13 = 29,516.78/x
  3. Step 3: Cross multiply
    49,580.68x = 74,185.13 × 29,516.78
  4. Step 4: Simplify right side
    49,580.68x = 2,189,706,161.48
  5. Step 5: Solve for x
    x = 2,189,706,161.48/49,580.68
  6. Step 6: Final answer
    x = 44,164.50

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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.