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Finding the Fourth Proportional to 57,146.96, 85,852.20 and 54,785

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Solution

The fourth proportional to 57,146.96, 85,852.20 and 54,785 is: 82,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146.96 : 85,852.20 = 54,785 : x
  2. Step 2: Convert to fraction form
    57,146.96/85,852.20 = 54,785/x
  3. Step 3: Cross multiply
    57,146.96x = 85,852.20 × 54,785
  4. Step 4: Simplify right side
    57,146.96x = 4,703,412,777
  5. Step 5: Solve for x
    x = 4,703,412,777/57,146.96
  6. Step 6: Final answer
    x = 82,303.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.