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Finding the Fourth Proportional to 75,958.20, 104,822.22 and 42,424.20

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Solution

The fourth proportional to 75,958.20, 104,822.22 and 42,424.20 is: 58,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.20 : 104,822.22 = 42,424.20 : x
  2. Step 2: Convert to fraction form
    75,958.20/104,822.22 = 42,424.20/x
  3. Step 3: Cross multiply
    75,958.20x = 104,822.22 × 42,424.20
  4. Step 4: Simplify right side
    75,958.20x = 4,446,998,825.72
  5. Step 5: Solve for x
    x = 4,446,998,825.72/75,958.20
  6. Step 6: Final answer
    x = 58,545.34

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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.