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Finding the Fourth Proportional to 40,121.36, 55,374 and 38,349.64

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Solution

The fourth proportional to 40,121.36, 55,374 and 38,349.64 is: 52,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,121.36 : 55,374 = 38,349.64 : x
  2. Step 2: Convert to fraction form
    40,121.36/55,374 = 38,349.64/x
  3. Step 3: Cross multiply
    40,121.36x = 55,374 × 38,349.64
  4. Step 4: Simplify right side
    40,121.36x = 2,123,572,965.36
  5. Step 5: Solve for x
    x = 2,123,572,965.36/40,121.36
  6. Step 6: Final answer
    x = 52,928.74

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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.