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Finding the Fourth Proportional to 56,596.68, 78,101.22 and 31,447.80

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Solution

The fourth proportional to 56,596.68, 78,101.22 and 31,447.80 is: 43,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,596.68 : 78,101.22 = 31,447.80 : x
  2. Step 2: Convert to fraction form
    56,596.68/78,101.22 = 31,447.80/x
  3. Step 3: Cross multiply
    56,596.68x = 78,101.22 × 31,447.80
  4. Step 4: Simplify right side
    56,596.68x = 2,456,111,546.32
  5. Step 5: Solve for x
    x = 2,456,111,546.32/56,596.68
  6. Step 6: Final answer
    x = 43,396.74

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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.