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Finding the Fourth Proportional to 40,102.38, 55,366.38 and 25,767.99

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Solution

The fourth proportional to 40,102.38, 55,366.38 and 25,767.99 is: 35,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102.38 : 55,366.38 = 25,767.99 : x
  2. Step 2: Convert to fraction form
    40,102.38/55,366.38 = 25,767.99/x
  3. Step 3: Cross multiply
    40,102.38x = 55,366.38 × 25,767.99
  4. Step 4: Simplify right side
    40,102.38x = 1,426,680,326.18
  5. Step 5: Solve for x
    x = 1,426,680,326.18/40,102.38
  6. Step 6: Final answer
    x = 35,575.95

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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.