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Finding the Fourth Proportional to 75,240.88, 112,781.75 and 27,825.50

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Solution

The fourth proportional to 75,240.88, 112,781.75 and 27,825.50 is: 41,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240.88 : 112,781.75 = 27,825.50 : x
  2. Step 2: Convert to fraction form
    75,240.88/112,781.75 = 27,825.50/x
  3. Step 3: Cross multiply
    75,240.88x = 112,781.75 × 27,825.50
  4. Step 4: Simplify right side
    75,240.88x = 3,138,208,727.45
  5. Step 5: Solve for x
    x = 3,138,208,727.45/75,240.88
  6. Step 6: Final answer
    x = 41,708.83

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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.