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Finding the Fourth Proportional to 40,142, 55,326.84 and 37,734.32

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Solution

The fourth proportional to 40,142, 55,326.84 and 37,734.32 is: 52,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,142 : 55,326.84 = 37,734.32 : x
  2. Step 2: Convert to fraction form
    40,142/55,326.84 = 37,734.32/x
  3. Step 3: Cross multiply
    40,142x = 55,326.84 × 37,734.32
  4. Step 4: Simplify right side
    40,142x = 2,087,720,685.15
  5. Step 5: Solve for x
    x = 2,087,720,685.15/40,142
  6. Step 6: Final answer
    x = 52,008.39

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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.