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Finding the Fourth Proportional to 40,103.80, 55,334.84 and 30,541.76

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Solution

The fourth proportional to 40,103.80, 55,334.84 and 30,541.76 is: 42,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,103.80 : 55,334.84 = 30,541.76 : x
  2. Step 2: Convert to fraction form
    40,103.80/55,334.84 = 30,541.76/x
  3. Step 3: Cross multiply
    40,103.80x = 55,334.84 × 30,541.76
  4. Step 4: Simplify right side
    40,103.80x = 1,690,023,402.92
  5. Step 5: Solve for x
    x = 1,690,023,402.92/40,103.80
  6. Step 6: Final answer
    x = 42,141.23

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