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Finding the Fourth Proportional to 83,842.44, 115,669.72 and 48,013.44

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Solution

The fourth proportional to 83,842.44, 115,669.72 and 48,013.44 is: 66,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.44 : 115,669.72 = 48,013.44 : x
  2. Step 2: Convert to fraction form
    83,842.44/115,669.72 = 48,013.44/x
  3. Step 3: Cross multiply
    83,842.44x = 115,669.72 × 48,013.44
  4. Step 4: Simplify right side
    83,842.44x = 5,553,701,161.04
  5. Step 5: Solve for x
    x = 5,553,701,161.04/83,842.44
  6. Step 6: Final answer
    x = 66,239.74

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1.5x scale

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.