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Finding the Fourth Proportional to 56,664.90, 78,195.88 and 31,171.24

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Solution

The fourth proportional to 56,664.90, 78,195.88 and 31,171.24 is: 43,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664.90 : 78,195.88 = 31,171.24 : x
  2. Step 2: Convert to fraction form
    56,664.90/78,195.88 = 31,171.24/x
  3. Step 3: Cross multiply
    56,664.90x = 78,195.88 × 31,171.24
  4. Step 4: Simplify right side
    56,664.90x = 2,437,462,789.16
  5. Step 5: Solve for x
    x = 2,437,462,789.16/56,664.90
  6. Step 6: Final answer
    x = 43,015.39

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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.