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Finding the Fourth Proportional to 75,137.86, 112,710.22 and 41,832.82

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Solution

The fourth proportional to 75,137.86, 112,710.22 and 41,832.82 is: 62,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.86 : 112,710.22 = 41,832.82 : x
  2. Step 2: Convert to fraction form
    75,137.86/112,710.22 = 41,832.82/x
  3. Step 3: Cross multiply
    75,137.86x = 112,710.22 × 41,832.82
  4. Step 4: Simplify right side
    75,137.86x = 4,714,986,381.73
  5. Step 5: Solve for x
    x = 4,714,986,381.73/75,137.86
  6. Step 6: Final answer
    x = 62,751.14

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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.