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Finding the Fourth Proportional to 35,149.12, 52,719.78 and 8,853.86

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Solution

The fourth proportional to 35,149.12, 52,719.78 and 8,853.86 is: 13,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149.12 : 52,719.78 = 8,853.86 : x
  2. Step 2: Convert to fraction form
    35,149.12/52,719.78 = 8,853.86/x
  3. Step 3: Cross multiply
    35,149.12x = 52,719.78 × 8,853.86
  4. Step 4: Simplify right side
    35,149.12x = 466,773,551.35
  5. Step 5: Solve for x
    x = 466,773,551.35/35,149.12
  6. Step 6: Final answer
    x = 13,279.81

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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.