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Finding the Fourth Proportional to 93,781.20, 140,649.72 and 27,203.76

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Solution

The fourth proportional to 93,781.20, 140,649.72 and 27,203.76 is: 40,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,781.20 : 140,649.72 = 27,203.76 : x
  2. Step 2: Convert to fraction form
    93,781.20/140,649.72 = 27,203.76/x
  3. Step 3: Cross multiply
    93,781.20x = 140,649.72 × 27,203.76
  4. Step 4: Simplify right side
    93,781.20x = 3,826,201,226.95
  5. Step 5: Solve for x
    x = 3,826,201,226.95/93,781.20
  6. Step 6: Final answer
    x = 40,799.24

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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.