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Finding the Fourth Proportional to 56,523.88, 84,797.82 and 21,462.76

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Solution

The fourth proportional to 56,523.88, 84,797.82 and 21,462.76 is: 32,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523.88 : 84,797.82 = 21,462.76 : x
  2. Step 2: Convert to fraction form
    56,523.88/84,797.82 = 21,462.76/x
  3. Step 3: Cross multiply
    56,523.88x = 84,797.82 × 21,462.76
  4. Step 4: Simplify right side
    56,523.88x = 1,819,995,259.18
  5. Step 5: Solve for x
    x = 1,819,995,259.18/56,523.88
  6. Step 6: Final answer
    x = 32,198.70

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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.