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Finding the Fourth Proportional to 75,151.54, 112,738.29 and 22,565.17

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Solution

The fourth proportional to 75,151.54, 112,738.29 and 22,565.17 is: 33,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,151.54 : 112,738.29 = 22,565.17 : x
  2. Step 2: Convert to fraction form
    75,151.54/112,738.29 = 22,565.17/x
  3. Step 3: Cross multiply
    75,151.54x = 112,738.29 × 22,565.17
  4. Step 4: Simplify right side
    75,151.54x = 2,543,958,679.36
  5. Step 5: Solve for x
    x = 2,543,958,679.36/75,151.54
  6. Step 6: Final answer
    x = 33,851.05

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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.