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Finding the Fourth Proportional to 38,240, 52,774.08 and 23,338.88

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Solution

The fourth proportional to 38,240, 52,774.08 and 23,338.88 is: 32,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 52,774.08 = 23,338.88 : x
  2. Step 2: Convert to fraction form
    38,240/52,774.08 = 23,338.88/x
  3. Step 3: Cross multiply
    38,240x = 52,774.08 × 23,338.88
  4. Step 4: Simplify right side
    38,240x = 1,231,687,920.23
  5. Step 5: Solve for x
    x = 1,231,687,920.23/38,240
  6. Step 6: Final answer
    x = 32,209.41

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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.