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Finding the Fourth Proportional to 29,123.12, 43,691.16 and 8,345

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Solution

The fourth proportional to 29,123.12, 43,691.16 and 8,345 is: 12,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.12 : 43,691.16 = 8,345 : x
  2. Step 2: Convert to fraction form
    29,123.12/43,691.16 = 8,345/x
  3. Step 3: Cross multiply
    29,123.12x = 43,691.16 × 8,345
  4. Step 4: Simplify right side
    29,123.12x = 364,602,730.20
  5. Step 5: Solve for x
    x = 364,602,730.20/29,123.12
  6. Step 6: Final answer
    x = 12,519.36

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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.