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Finding the Fourth Proportional to 55,716.62, 76,887.54 and 31,187.07

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Solution

The fourth proportional to 55,716.62, 76,887.54 and 31,187.07 is: 43,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,716.62 : 76,887.54 = 31,187.07 : x
  2. Step 2: Convert to fraction form
    55,716.62/76,887.54 = 31,187.07/x
  3. Step 3: Cross multiply
    55,716.62x = 76,887.54 × 31,187.07
  4. Step 4: Simplify right side
    55,716.62x = 2,397,897,092.11
  5. Step 5: Solve for x
    x = 2,397,897,092.11/55,716.62
  6. Step 6: Final answer
    x = 43,037.38

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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.