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Finding the Fourth Proportional to 75,249.46, 112,889.02 and 27,864.96

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Solution

The fourth proportional to 75,249.46, 112,889.02 and 27,864.96 is: 41,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,249.46 : 112,889.02 = 27,864.96 : x
  2. Step 2: Convert to fraction form
    75,249.46/112,889.02 = 27,864.96/x
  3. Step 3: Cross multiply
    75,249.46x = 112,889.02 × 27,864.96
  4. Step 4: Simplify right side
    75,249.46x = 3,145,648,026.74
  5. Step 5: Solve for x
    x = 3,145,648,026.74/75,249.46
  6. Step 6: Final answer
    x = 41,802.93

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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.