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Finding the Fourth Proportional to 56,882.87, 85,338.05 and 21,344.48

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Solution

The fourth proportional to 56,882.87, 85,338.05 and 21,344.48 is: 32,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,882.87 : 85,338.05 = 21,344.48 : x
  2. Step 2: Convert to fraction form
    56,882.87/85,338.05 = 21,344.48/x
  3. Step 3: Cross multiply
    56,882.87x = 85,338.05 × 21,344.48
  4. Step 4: Simplify right side
    56,882.87x = 1,821,496,088.07
  5. Step 5: Solve for x
    x = 1,821,496,088.07/56,882.87
  6. Step 6: Final answer
    x = 32,021.87

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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.