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Finding the Fourth Proportional to 65,238.25, 90,027.25 and 38,382.49

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Solution

The fourth proportional to 65,238.25, 90,027.25 and 38,382.49 is: 52,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.25 : 90,027.25 = 38,382.49 : x
  2. Step 2: Convert to fraction form
    65,238.25/90,027.25 = 38,382.49/x
  3. Step 3: Cross multiply
    65,238.25x = 90,027.25 × 38,382.49
  4. Step 4: Simplify right side
    65,238.25x = 3,455,469,701.83
  5. Step 5: Solve for x
    x = 3,455,469,701.83/65,238.25
  6. Step 6: Final answer
    x = 52,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.