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Finding the Fourth Proportional to 57,158.20, 85,750.80 and 23,859.76

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Solution

The fourth proportional to 57,158.20, 85,750.80 and 23,859.76 is: 35,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158.20 : 85,750.80 = 23,859.76 : x
  2. Step 2: Convert to fraction form
    57,158.20/85,750.80 = 23,859.76/x
  3. Step 3: Cross multiply
    57,158.20x = 85,750.80 × 23,859.76
  4. Step 4: Simplify right side
    57,158.20x = 2,045,993,507.81
  5. Step 5: Solve for x
    x = 2,045,993,507.81/57,158.20
  6. Step 6: Final answer
    x = 35,795.28

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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.