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Finding the Fourth Proportional to 73,785.75, 101,823.87 and 41,954.65

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Solution

The fourth proportional to 73,785.75, 101,823.87 and 41,954.65 is: 57,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,785.75 : 101,823.87 = 41,954.65 : x
  2. Step 2: Convert to fraction form
    73,785.75/101,823.87 = 41,954.65/x
  3. Step 3: Cross multiply
    73,785.75x = 101,823.87 × 41,954.65
  4. Step 4: Simplify right side
    73,785.75x = 4,271,984,849.89
  5. Step 5: Solve for x
    x = 4,271,984,849.89/73,785.75
  6. Step 6: Final answer
    x = 57,897.15

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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.