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Finding the Fourth Proportional to 74,041.38, 102,177.17 and 40,507.38

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Solution

The fourth proportional to 74,041.38, 102,177.17 and 40,507.38 is: 55,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,041.38 : 102,177.17 = 40,507.38 : x
  2. Step 2: Convert to fraction form
    74,041.38/102,177.17 = 40,507.38/x
  3. Step 3: Cross multiply
    74,041.38x = 102,177.17 × 40,507.38
  4. Step 4: Simplify right side
    74,041.38x = 4,138,929,452.51
  5. Step 5: Solve for x
    x = 4,138,929,452.51/74,041.38
  6. Step 6: Final answer
    x = 55,900.22

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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.