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Finding the Fourth Proportional to 29,175.98, 43,770.48 and 8,397.86

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Solution

The fourth proportional to 29,175.98, 43,770.48 and 8,397.86 is: 12,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,175.98 : 43,770.48 = 8,397.86 : x
  2. Step 2: Convert to fraction form
    29,175.98/43,770.48 = 8,397.86/x
  3. Step 3: Cross multiply
    29,175.98x = 43,770.48 × 8,397.86
  4. Step 4: Simplify right side
    29,175.98x = 367,578,363.17
  5. Step 5: Solve for x
    x = 367,578,363.17/29,175.98
  6. Step 6: Final answer
    x = 12,598.66

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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.