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Finding the Fourth Proportional to 36,149.52, 54,218.12 and 9,848.10

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Solution

The fourth proportional to 36,149.52, 54,218.12 and 9,848.10 is: 14,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.52 : 54,218.12 = 9,848.10 : x
  2. Step 2: Convert to fraction form
    36,149.52/54,218.12 = 9,848.10/x
  3. Step 3: Cross multiply
    36,149.52x = 54,218.12 × 9,848.10
  4. Step 4: Simplify right side
    36,149.52x = 533,945,467.57
  5. Step 5: Solve for x
    x = 533,945,467.57/36,149.52
  6. Step 6: Final answer
    x = 14,770.47

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1.5x scale

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.