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Finding the Fourth Proportional to 56,514.60, 84,711.75 and 26,869.82

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Solution

The fourth proportional to 56,514.60, 84,711.75 and 26,869.82 is: 40,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514.60 : 84,711.75 = 26,869.82 : x
  2. Step 2: Convert to fraction form
    56,514.60/84,711.75 = 26,869.82/x
  3. Step 3: Cross multiply
    56,514.60x = 84,711.75 × 26,869.82
  4. Step 4: Simplify right side
    56,514.60x = 2,276,189,050.83
  5. Step 5: Solve for x
    x = 2,276,189,050.83/56,514.60
  6. Step 6: Final answer
    x = 40,276.12

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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.