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Finding the Fourth Proportional to 56,820.39, 78,412.56 and 31,327.66

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Solution

The fourth proportional to 56,820.39, 78,412.56 and 31,327.66 is: 43,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,820.39 : 78,412.56 = 31,327.66 : x
  2. Step 2: Convert to fraction form
    56,820.39/78,412.56 = 31,327.66/x
  3. Step 3: Cross multiply
    56,820.39x = 78,412.56 × 31,327.66
  4. Step 4: Simplify right side
    56,820.39x = 2,456,481,999.95
  5. Step 5: Solve for x
    x = 2,456,481,999.95/56,820.39
  6. Step 6: Final answer
    x = 43,232.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.