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Finding the Fourth Proportional to 36,150, 54,224.94 and 9,854.70

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Solution

The fourth proportional to 36,150, 54,224.94 and 9,854.70 is: 14,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,150 : 54,224.94 = 9,854.70 : x
  2. Step 2: Convert to fraction form
    36,150/54,224.94 = 9,854.70/x
  3. Step 3: Cross multiply
    36,150x = 54,224.94 × 9,854.70
  4. Step 4: Simplify right side
    36,150x = 534,370,516.22
  5. Step 5: Solve for x
    x = 534,370,516.22/36,150
  6. Step 6: Final answer
    x = 14,782.03

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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.