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Finding the Fourth Proportional to 57,016.60, 78,686.76 and 33,143.20

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Solution

The fourth proportional to 57,016.60, 78,686.76 and 33,143.20 is: 45,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.60 : 78,686.76 = 33,143.20 : x
  2. Step 2: Convert to fraction form
    57,016.60/78,686.76 = 33,143.20/x
  3. Step 3: Cross multiply
    57,016.60x = 78,686.76 × 33,143.20
  4. Step 4: Simplify right side
    57,016.60x = 2,607,931,024.03
  5. Step 5: Solve for x
    x = 2,607,931,024.03/57,016.60
  6. Step 6: Final answer
    x = 45,739.86

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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.