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Finding the Fourth Proportional to 75,226.62, 112,847.46 and 27,854.40

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Solution

The fourth proportional to 75,226.62, 112,847.46 and 27,854.40 is: 41,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,226.62 : 112,847.46 = 27,854.40 : x
  2. Step 2: Convert to fraction form
    75,226.62/112,847.46 = 27,854.40/x
  3. Step 3: Cross multiply
    75,226.62x = 112,847.46 × 27,854.40
  4. Step 4: Simplify right side
    75,226.62x = 3,143,298,289.82
  5. Step 5: Solve for x
    x = 3,143,298,289.82/75,226.62
  6. Step 6: Final answer
    x = 41,784.39

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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.