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Finding the Fourth Proportional to 70,874.46, 97,803.12 and 39,042.66

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Solution

The fourth proportional to 70,874.46, 97,803.12 and 39,042.66 is: 53,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874.46 : 97,803.12 = 39,042.66 : x
  2. Step 2: Convert to fraction form
    70,874.46/97,803.12 = 39,042.66/x
  3. Step 3: Cross multiply
    70,874.46x = 97,803.12 × 39,042.66
  4. Step 4: Simplify right side
    70,874.46x = 3,818,493,961.10
  5. Step 5: Solve for x
    x = 3,818,493,961.10/70,874.46
  6. Step 6: Final answer
    x = 53,876.87

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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.