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Finding the Fourth Proportional to 75,215.91, 112,829.46 and 25,295.82

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Solution

The fourth proportional to 75,215.91, 112,829.46 and 25,295.82 is: 37,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,215.91 : 112,829.46 = 25,295.82 : x
  2. Step 2: Convert to fraction form
    75,215.91/112,829.46 = 25,295.82/x
  3. Step 3: Cross multiply
    75,215.91x = 112,829.46 × 25,295.82
  4. Step 4: Simplify right side
    75,215.91x = 2,854,113,710.86
  5. Step 5: Solve for x
    x = 2,854,113,710.86/75,215.91
  6. Step 6: Final answer
    x = 37,945.61

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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.