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Finding the Fourth Proportional to 37,874.85, 52,248.69 and 24,441

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Solution

The fourth proportional to 37,874.85, 52,248.69 and 24,441 is: 33,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.85 : 52,248.69 = 24,441 : x
  2. Step 2: Convert to fraction form
    37,874.85/52,248.69 = 24,441/x
  3. Step 3: Cross multiply
    37,874.85x = 52,248.69 × 24,441
  4. Step 4: Simplify right side
    37,874.85x = 1,277,010,232.29
  5. Step 5: Solve for x
    x = 1,277,010,232.29/37,874.85
  6. Step 6: Final answer
    x = 33,716.58

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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.