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Finding the Fourth Proportional to 72,230.38, 99,683.02 and 40,402.24

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Solution

The fourth proportional to 72,230.38, 99,683.02 and 40,402.24 is: 55,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230.38 : 99,683.02 = 40,402.24 : x
  2. Step 2: Convert to fraction form
    72,230.38/99,683.02 = 40,402.24/x
  3. Step 3: Cross multiply
    72,230.38x = 99,683.02 × 40,402.24
  4. Step 4: Simplify right side
    72,230.38x = 4,027,417,297.96
  5. Step 5: Solve for x
    x = 4,027,417,297.96/72,230.38
  6. Step 6: Final answer
    x = 55,757.94

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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.