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Finding the Fourth Proportional to 65,228.55, 97,855.38 and 27,787.92

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Solution

The fourth proportional to 65,228.55, 97,855.38 and 27,787.92 is: 41,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.55 : 97,855.38 = 27,787.92 : x
  2. Step 2: Convert to fraction form
    65,228.55/97,855.38 = 27,787.92/x
  3. Step 3: Cross multiply
    65,228.55x = 97,855.38 × 27,787.92
  4. Step 4: Simplify right side
    65,228.55x = 2,719,197,471.01
  5. Step 5: Solve for x
    x = 2,719,197,471.01/65,228.55
  6. Step 6: Final answer
    x = 41,687.23

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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.