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Finding the Fourth Proportional to 56,419.88, 77,861.86 and 31,269.38

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Solution

The fourth proportional to 56,419.88, 77,861.86 and 31,269.38 is: 43,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.88 : 77,861.86 = 31,269.38 : x
  2. Step 2: Convert to fraction form
    56,419.88/77,861.86 = 31,269.38/x
  3. Step 3: Cross multiply
    56,419.88x = 77,861.86 × 31,269.38
  4. Step 4: Simplify right side
    56,419.88x = 2,434,691,620.36
  5. Step 5: Solve for x
    x = 2,434,691,620.36/56,419.88
  6. Step 6: Final answer
    x = 43,153.08

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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.