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Finding the Fourth Proportional to 75,098.88, 112,625.28 and 51,874.56

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Solution

The fourth proportional to 75,098.88, 112,625.28 and 51,874.56 is: 77,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.88 : 112,625.28 = 51,874.56 : x
  2. Step 2: Convert to fraction form
    75,098.88/112,625.28 = 51,874.56/x
  3. Step 3: Cross multiply
    75,098.88x = 112,625.28 × 51,874.56
  4. Step 4: Simplify right side
    75,098.88x = 5,842,386,844.88
  5. Step 5: Solve for x
    x = 5,842,386,844.88/75,098.88
  6. Step 6: Final answer
    x = 77,795.93

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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.