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Finding the Fourth Proportional to 75,174.68, 103,741.19 and 41,182.43

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Solution

The fourth proportional to 75,174.68, 103,741.19 and 41,182.43 is: 56,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.68 : 103,741.19 = 41,182.43 : x
  2. Step 2: Convert to fraction form
    75,174.68/103,741.19 = 41,182.43/x
  3. Step 3: Cross multiply
    75,174.68x = 103,741.19 × 41,182.43
  4. Step 4: Simplify right side
    75,174.68x = 4,272,313,570.67
  5. Step 5: Solve for x
    x = 4,272,313,570.67/75,174.68
  6. Step 6: Final answer
    x = 56,831.82

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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.