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Finding the Fourth Proportional to 71,725.50, 98,981.19 and 41,917.50

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Solution

The fourth proportional to 71,725.50, 98,981.19 and 41,917.50 is: 57,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725.50 : 98,981.19 = 41,917.50 : x
  2. Step 2: Convert to fraction form
    71,725.50/98,981.19 = 41,917.50/x
  3. Step 3: Cross multiply
    71,725.50x = 98,981.19 × 41,917.50
  4. Step 4: Simplify right side
    71,725.50x = 4,149,044,031.83
  5. Step 5: Solve for x
    x = 4,149,044,031.83/71,725.50
  6. Step 6: Final answer
    x = 57,846.15

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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.