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Finding the Fourth Proportional to 56,103.71, 84,082.83 and 22,784.75

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Solution

The fourth proportional to 56,103.71, 84,082.83 and 22,784.75 is: 34,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,103.71 : 84,082.83 = 22,784.75 : x
  2. Step 2: Convert to fraction form
    56,103.71/84,082.83 = 22,784.75/x
  3. Step 3: Cross multiply
    56,103.71x = 84,082.83 × 22,784.75
  4. Step 4: Simplify right side
    56,103.71x = 1,915,806,260.84
  5. Step 5: Solve for x
    x = 1,915,806,260.84/56,103.71
  6. Step 6: Final answer
    x = 34,147.59

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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.