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Finding the Fourth Proportional to 82,044.75, 113,221.76 and 44,319

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Solution

The fourth proportional to 82,044.75, 113,221.76 and 44,319 is: 61,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044.75 : 113,221.76 = 44,319 : x
  2. Step 2: Convert to fraction form
    82,044.75/113,221.76 = 44,319/x
  3. Step 3: Cross multiply
    82,044.75x = 113,221.76 × 44,319
  4. Step 4: Simplify right side
    82,044.75x = 5,017,874,959.85
  5. Step 5: Solve for x
    x = 5,017,874,959.85/82,044.75
  6. Step 6: Final answer
    x = 61,160.22

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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.