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Finding the Fourth Proportional to 71,982.38, 99,315.74 and 46,489.82

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Solution

The fourth proportional to 71,982.38, 99,315.74 and 46,489.82 is: 64,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.38 : 99,315.74 = 46,489.82 : x
  2. Step 2: Convert to fraction form
    71,982.38/99,315.74 = 46,489.82/x
  3. Step 3: Cross multiply
    71,982.38x = 99,315.74 × 46,489.82
  4. Step 4: Simplify right side
    71,982.38x = 4,617,170,146.74
  5. Step 5: Solve for x
    x = 4,617,170,146.74/71,982.38
  6. Step 6: Final answer
    x = 64,143.06

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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.