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Finding the Fourth Proportional to 57,150.56, 78,868.01 and 31,656.38

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Solution

The fourth proportional to 57,150.56, 78,868.01 and 31,656.38 is: 43,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,150.56 : 78,868.01 = 31,656.38 : x
  2. Step 2: Convert to fraction form
    57,150.56/78,868.01 = 31,656.38/x
  3. Step 3: Cross multiply
    57,150.56x = 78,868.01 × 31,656.38
  4. Step 4: Simplify right side
    57,150.56x = 2,496,675,379.20
  5. Step 5: Solve for x
    x = 2,496,675,379.20/57,150.56
  6. Step 6: Final answer
    x = 43,685.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.