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Finding the Fourth Proportional to 38,497.70, 57,746.55 and 13,565.90

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Solution

The fourth proportional to 38,497.70, 57,746.55 and 13,565.90 is: 20,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.70 : 57,746.55 = 13,565.90 : x
  2. Step 2: Convert to fraction form
    38,497.70/57,746.55 = 13,565.90/x
  3. Step 3: Cross multiply
    38,497.70x = 57,746.55 × 13,565.90
  4. Step 4: Simplify right side
    38,497.70x = 783,383,922.65
  5. Step 5: Solve for x
    x = 783,383,922.65/38,497.70
  6. Step 6: Final answer
    x = 20,348.85

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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.