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Finding the Fourth Proportional to 57,113.30, 85,606.22 and 23,822.30

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Solution

The fourth proportional to 57,113.30, 85,606.22 and 23,822.30 is: 35,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.30 : 85,606.22 = 23,822.30 : x
  2. Step 2: Convert to fraction form
    57,113.30/85,606.22 = 23,822.30/x
  3. Step 3: Cross multiply
    57,113.30x = 85,606.22 × 23,822.30
  4. Step 4: Simplify right side
    57,113.30x = 2,039,337,054.71
  5. Step 5: Solve for x
    x = 2,039,337,054.71/57,113.30
  6. Step 6: Final answer
    x = 35,706.87

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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.