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Finding the Fourth Proportional to 56,643.48, 78,165 and 32,770.55

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Solution

The fourth proportional to 56,643.48, 78,165 and 32,770.55 is: 45,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.48 : 78,165 = 32,770.55 : x
  2. Step 2: Convert to fraction form
    56,643.48/78,165 = 32,770.55/x
  3. Step 3: Cross multiply
    56,643.48x = 78,165 × 32,770.55
  4. Step 4: Simplify right side
    56,643.48x = 2,561,510,040.75
  5. Step 5: Solve for x
    x = 2,561,510,040.75/56,643.48
  6. Step 6: Final answer
    x = 45,221.62

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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.