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Finding the Fourth Proportional to 70,294.97, 105,310.04 and 34,714.64

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Solution

The fourth proportional to 70,294.97, 105,310.04 and 34,714.64 is: 52,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.97 : 105,310.04 = 34,714.64 : x
  2. Step 2: Convert to fraction form
    70,294.97/105,310.04 = 34,714.64/x
  3. Step 3: Cross multiply
    70,294.97x = 105,310.04 × 34,714.64
  4. Step 4: Simplify right side
    70,294.97x = 3,655,800,216.69
  5. Step 5: Solve for x
    x = 3,655,800,216.69/70,294.97
  6. Step 6: Final answer
    x = 52,006.57

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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.