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Finding the Fourth Proportional to 72,225.38, 99,676.12 and 40,397.24

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Solution

The fourth proportional to 72,225.38, 99,676.12 and 40,397.24 is: 55,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,225.38 : 99,676.12 = 40,397.24 : x
  2. Step 2: Convert to fraction form
    72,225.38/99,676.12 = 40,397.24/x
  3. Step 3: Cross multiply
    72,225.38x = 99,676.12 × 40,397.24
  4. Step 4: Simplify right side
    72,225.38x = 4,026,640,141.91
  5. Step 5: Solve for x
    x = 4,026,640,141.91/72,225.38
  6. Step 6: Final answer
    x = 55,751.04

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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.