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Finding the Fourth Proportional to 56,885.92, 85,320.24 and 21,842.08

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Solution

The fourth proportional to 56,885.92, 85,320.24 and 21,842.08 is: 32,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,885.92 : 85,320.24 = 21,842.08 : x
  2. Step 2: Convert to fraction form
    56,885.92/85,320.24 = 21,842.08/x
  3. Step 3: Cross multiply
    56,885.92x = 85,320.24 × 21,842.08
  4. Step 4: Simplify right side
    56,885.92x = 1,863,571,507.70
  5. Step 5: Solve for x
    x = 1,863,571,507.70/56,885.92
  6. Step 6: Final answer
    x = 32,759.80

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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.