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Finding the Fourth Proportional to 56,616.36, 78,131.56 and 31,123.80

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Solution

The fourth proportional to 56,616.36, 78,131.56 and 31,123.80 is: 42,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,616.36 : 78,131.56 = 31,123.80 : x
  2. Step 2: Convert to fraction form
    56,616.36/78,131.56 = 31,123.80/x
  3. Step 3: Cross multiply
    56,616.36x = 78,131.56 × 31,123.80
  4. Step 4: Simplify right side
    56,616.36x = 2,431,751,047.13
  5. Step 5: Solve for x
    x = 2,431,751,047.13/56,616.36
  6. Step 6: Final answer
    x = 42,951.38

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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.