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Finding the Fourth Proportional to 39,543.28, 54,503.22 and 29,980

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Solution

The fourth proportional to 39,543.28, 54,503.22 and 29,980 is: 41,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,543.28 : 54,503.22 = 29,980 : x
  2. Step 2: Convert to fraction form
    39,543.28/54,503.22 = 29,980/x
  3. Step 3: Cross multiply
    39,543.28x = 54,503.22 × 29,980
  4. Step 4: Simplify right side
    39,543.28x = 1,634,006,535.60
  5. Step 5: Solve for x
    x = 1,634,006,535.60/39,543.28
  6. Step 6: Final answer
    x = 41,321.98

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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.