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Finding the Fourth Proportional to 89,854.70, 134,782.05 and 54,862.70

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Solution

The fourth proportional to 89,854.70, 134,782.05 and 54,862.70 is: 82,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854.70 : 134,782.05 = 54,862.70 : x
  2. Step 2: Convert to fraction form
    89,854.70/134,782.05 = 54,862.70/x
  3. Step 3: Cross multiply
    89,854.70x = 134,782.05 × 54,862.70
  4. Step 4: Simplify right side
    89,854.70x = 7,394,507,174.54
  5. Step 5: Solve for x
    x = 7,394,507,174.54/89,854.70
  6. Step 6: Final answer
    x = 82,294.05

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Why These Related Problems?

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