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Finding the Fourth Proportional to 38,380.50, 52,965.09 and 22,464.18

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Solution

The fourth proportional to 38,380.50, 52,965.09 and 22,464.18 is: 31,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.50 : 52,965.09 = 22,464.18 : x
  2. Step 2: Convert to fraction form
    38,380.50/52,965.09 = 22,464.18/x
  3. Step 3: Cross multiply
    38,380.50x = 52,965.09 × 22,464.18
  4. Step 4: Simplify right side
    38,380.50x = 1,189,817,315.48
  5. Step 5: Solve for x
    x = 1,189,817,315.48/38,380.50
  6. Step 6: Final answer
    x = 31,000.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.