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Finding the Fourth Proportional to 29,671.52, 44,514.56 and 8,895

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Solution

The fourth proportional to 29,671.52, 44,514.56 and 8,895 is: 13,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671.52 : 44,514.56 = 8,895 : x
  2. Step 2: Convert to fraction form
    29,671.52/44,514.56 = 8,895/x
  3. Step 3: Cross multiply
    29,671.52x = 44,514.56 × 8,895
  4. Step 4: Simplify right side
    29,671.52x = 395,957,011.20
  5. Step 5: Solve for x
    x = 395,957,011.20/29,671.52
  6. Step 6: Final answer
    x = 13,344.68

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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.