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Finding the Fourth Proportional to 56,687.44, 78,229.38 and 31,196.74

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Solution

The fourth proportional to 56,687.44, 78,229.38 and 31,196.74 is: 43,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.44 : 78,229.38 = 31,196.74 : x
  2. Step 2: Convert to fraction form
    56,687.44/78,229.38 = 31,196.74/x
  3. Step 3: Cross multiply
    56,687.44x = 78,229.38 × 31,196.74
  4. Step 4: Simplify right side
    56,687.44x = 2,440,501,237.07
  5. Step 5: Solve for x
    x = 2,440,501,237.07/56,687.44
  6. Step 6: Final answer
    x = 43,051.89

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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.