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Finding the Fourth Proportional to 44,310.92, 61,169.46 and 38,237

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Solution

The fourth proportional to 44,310.92, 61,169.46 and 38,237 is: 52,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,310.92 : 61,169.46 = 38,237 : x
  2. Step 2: Convert to fraction form
    44,310.92/61,169.46 = 38,237/x
  3. Step 3: Cross multiply
    44,310.92x = 61,169.46 × 38,237
  4. Step 4: Simplify right side
    44,310.92x = 2,338,936,642.02
  5. Step 5: Solve for x
    x = 2,338,936,642.02/44,310.92
  6. Step 6: Final answer
    x = 52,784.66

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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.