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Finding the Fourth Proportional to 83,835.43, 125,753.14 and 48,750.48

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Solution

The fourth proportional to 83,835.43, 125,753.14 and 48,750.48 is: 73,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,835.43 : 125,753.14 = 48,750.48 : x
  2. Step 2: Convert to fraction form
    83,835.43/125,753.14 = 48,750.48/x
  3. Step 3: Cross multiply
    83,835.43x = 125,753.14 × 48,750.48
  4. Step 4: Simplify right side
    83,835.43x = 6,130,525,063.99
  5. Step 5: Solve for x
    x = 6,130,525,063.99/83,835.43
  6. Step 6: Final answer
    x = 73,125.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.