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Finding the Fourth Proportional to 72,877.38, 100,568.16 and 41,049.24

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Solution

The fourth proportional to 72,877.38, 100,568.16 and 41,049.24 is: 56,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,877.38 : 100,568.16 = 41,049.24 : x
  2. Step 2: Convert to fraction form
    72,877.38/100,568.16 = 41,049.24/x
  3. Step 3: Cross multiply
    72,877.38x = 100,568.16 × 41,049.24
  4. Step 4: Simplify right side
    72,877.38x = 4,128,246,536.20
  5. Step 5: Solve for x
    x = 4,128,246,536.20/72,877.38
  6. Step 6: Final answer
    x = 56,646.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.