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Finding the Fourth Proportional to 36,242.72, 54,364.12 and 9,947.66

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Solution

The fourth proportional to 36,242.72, 54,364.12 and 9,947.66 is: 14,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,242.72 : 54,364.12 = 9,947.66 : x
  2. Step 2: Convert to fraction form
    36,242.72/54,364.12 = 9,947.66/x
  3. Step 3: Cross multiply
    36,242.72x = 54,364.12 × 9,947.66
  4. Step 4: Simplify right side
    36,242.72x = 540,795,781.96
  5. Step 5: Solve for x
    x = 540,795,781.96/36,242.72
  6. Step 6: Final answer
    x = 14,921.50

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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.