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Finding the Fourth Proportional to 57,147.96, 85,853.70 and 54,786

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Solution

The fourth proportional to 57,147.96, 85,853.70 and 54,786 is: 82,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.96 : 85,853.70 = 54,786 : x
  2. Step 2: Convert to fraction form
    57,147.96/85,853.70 = 54,786/x
  3. Step 3: Cross multiply
    57,147.96x = 85,853.70 × 54,786
  4. Step 4: Simplify right side
    57,147.96x = 4,703,580,808.20
  5. Step 5: Solve for x
    x = 4,703,580,808.20/57,147.96
  6. Step 6: Final answer
    x = 82,305.31

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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.