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Finding the Fourth Proportional to 56,627.91, 78,147.41 and 31,135.38

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Solution

The fourth proportional to 56,627.91, 78,147.41 and 31,135.38 is: 42,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,627.91 : 78,147.41 = 31,135.38 : x
  2. Step 2: Convert to fraction form
    56,627.91/78,147.41 = 31,135.38/x
  3. Step 3: Cross multiply
    56,627.91x = 78,147.41 × 31,135.38
  4. Step 4: Simplify right side
    56,627.91x = 2,433,149,150.69
  5. Step 5: Solve for x
    x = 2,433,149,150.69/56,627.91
  6. Step 6: Final answer
    x = 42,967.31

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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.