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Finding the Fourth Proportional to 83,311.76, 124,968.12 and 34,063.76

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Solution

The fourth proportional to 83,311.76, 124,968.12 and 34,063.76 is: 51,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.76 : 124,968.12 = 34,063.76 : x
  2. Step 2: Convert to fraction form
    83,311.76/124,968.12 = 34,063.76/x
  3. Step 3: Cross multiply
    83,311.76x = 124,968.12 × 34,063.76
  4. Step 4: Simplify right side
    83,311.76x = 4,256,884,047.33
  5. Step 5: Solve for x
    x = 4,256,884,047.33/83,311.76
  6. Step 6: Final answer
    x = 51,095.84

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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.