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Finding the Fourth Proportional to 29,005.80, 43,514.15 and 8,229.30

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Solution

The fourth proportional to 29,005.80, 43,514.15 and 8,229.30 is: 12,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,005.80 : 43,514.15 = 8,229.30 : x
  2. Step 2: Convert to fraction form
    29,005.80/43,514.15 = 8,229.30/x
  3. Step 3: Cross multiply
    29,005.80x = 43,514.15 × 8,229.30
  4. Step 4: Simplify right side
    29,005.80x = 358,090,953.45
  5. Step 5: Solve for x
    x = 358,090,953.45/29,005.80
  6. Step 6: Final answer
    x = 12,345.49

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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.