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Finding the Fourth Proportional to 36,658.20, 54,971.10 and 14,464.20

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Solution

The fourth proportional to 36,658.20, 54,971.10 and 14,464.20 is: 21,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.20 : 54,971.10 = 14,464.20 : x
  2. Step 2: Convert to fraction form
    36,658.20/54,971.10 = 14,464.20/x
  3. Step 3: Cross multiply
    36,658.20x = 54,971.10 × 14,464.20
  4. Step 4: Simplify right side
    36,658.20x = 795,112,984.62
  5. Step 5: Solve for x
    x = 795,112,984.62/36,658.20
  6. Step 6: Final answer
    x = 21,689.91

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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.