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Finding the Fourth Proportional to 56,494.56, 77,965.56 and 31,344.60

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Solution

The fourth proportional to 56,494.56, 77,965.56 and 31,344.60 is: 43,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.56 : 77,965.56 = 31,344.60 : x
  2. Step 2: Convert to fraction form
    56,494.56/77,965.56 = 31,344.60/x
  3. Step 3: Cross multiply
    56,494.56x = 77,965.56 × 31,344.60
  4. Step 4: Simplify right side
    56,494.56x = 2,443,799,291.98
  5. Step 5: Solve for x
    x = 2,443,799,291.98/56,494.56
  6. Step 6: Final answer
    x = 43,257.25

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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.