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Finding the Fourth Proportional to 75,227.62, 112,848.96 and 27,855.40

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Solution

The fourth proportional to 75,227.62, 112,848.96 and 27,855.40 is: 41,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227.62 : 112,848.96 = 27,855.40 : x
  2. Step 2: Convert to fraction form
    75,227.62/112,848.96 = 27,855.40/x
  3. Step 3: Cross multiply
    75,227.62x = 112,848.96 × 27,855.40
  4. Step 4: Simplify right side
    75,227.62x = 3,143,452,920.38
  5. Step 5: Solve for x
    x = 3,143,452,920.38/75,227.62
  6. Step 6: Final answer
    x = 41,785.89

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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.