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Finding the Fourth Proportional to 27,029.31, 40,543.86 and 7,307.86

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Solution

The fourth proportional to 27,029.31, 40,543.86 and 7,307.86 is: 10,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.31 : 40,543.86 = 7,307.86 : x
  2. Step 2: Convert to fraction form
    27,029.31/40,543.86 = 7,307.86/x
  3. Step 3: Cross multiply
    27,029.31x = 40,543.86 × 7,307.86
  4. Step 4: Simplify right side
    27,029.31x = 296,288,854.80
  5. Step 5: Solve for x
    x = 296,288,854.80/27,029.31
  6. Step 6: Final answer
    x = 10,961.76

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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.