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Finding the Fourth Proportional to 38,205.98, 57,290.90 and 14,182.39

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Solution

The fourth proportional to 38,205.98, 57,290.90 and 14,182.39 is: 21,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.98 : 57,290.90 = 14,182.39 : x
  2. Step 2: Convert to fraction form
    38,205.98/57,290.90 = 14,182.39/x
  3. Step 3: Cross multiply
    38,205.98x = 57,290.90 × 14,182.39
  4. Step 4: Simplify right side
    38,205.98x = 812,521,887.95
  5. Step 5: Solve for x
    x = 812,521,887.95/38,205.98
  6. Step 6: Final answer
    x = 21,266.88

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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.