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Finding the Fourth Proportional to 73,180.65, 100,978.14 and 41,337.93

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Solution

The fourth proportional to 73,180.65, 100,978.14 and 41,337.93 is: 57,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,180.65 : 100,978.14 = 41,337.93 : x
  2. Step 2: Convert to fraction form
    73,180.65/100,978.14 = 41,337.93/x
  3. Step 3: Cross multiply
    73,180.65x = 100,978.14 × 41,337.93
  4. Step 4: Simplify right side
    73,180.65x = 4,174,227,282.85
  5. Step 5: Solve for x
    x = 4,174,227,282.85/73,180.65
  6. Step 6: Final answer
    x = 57,040.04

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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.