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Finding the Fourth Proportional to 29,557.50, 40,789.35 and 20,142.47

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Solution

The fourth proportional to 29,557.50, 40,789.35 and 20,142.47 is: 27,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557.50 : 40,789.35 = 20,142.47 : x
  2. Step 2: Convert to fraction form
    29,557.50/40,789.35 = 20,142.47/x
  3. Step 3: Cross multiply
    29,557.50x = 40,789.35 × 20,142.47
  4. Step 4: Simplify right side
    29,557.50x = 821,598,054.75
  5. Step 5: Solve for x
    x = 821,598,054.75/29,557.50
  6. Step 6: Final answer
    x = 27,796.60

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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.