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Finding the Fourth Proportional to 76,195.91, 114,299.34 and 26,275.29

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Solution

The fourth proportional to 76,195.91, 114,299.34 and 26,275.29 is: 39,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,195.91 : 114,299.34 = 26,275.29 : x
  2. Step 2: Convert to fraction form
    76,195.91/114,299.34 = 26,275.29/x
  3. Step 3: Cross multiply
    76,195.91x = 114,299.34 × 26,275.29
  4. Step 4: Simplify right side
    76,195.91x = 3,003,248,085.25
  5. Step 5: Solve for x
    x = 3,003,248,085.25/76,195.91
  6. Step 6: Final answer
    x = 39,414.82

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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.