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Finding the Fourth Proportional to 72,407.20, 99,917.82 and 42,197.44

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Solution

The fourth proportional to 72,407.20, 99,917.82 and 42,197.44 is: 58,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407.20 : 99,917.82 = 42,197.44 : x
  2. Step 2: Convert to fraction form
    72,407.20/99,917.82 = 42,197.44/x
  3. Step 3: Cross multiply
    72,407.20x = 99,917.82 × 42,197.44
  4. Step 4: Simplify right side
    72,407.20x = 4,216,276,214.38
  5. Step 5: Solve for x
    x = 4,216,276,214.38/72,407.20
  6. Step 6: Final answer
    x = 58,230.07

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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.