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Finding the Fourth Proportional to 48,633, 72,971.46 and 27,856.50

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Solution

The fourth proportional to 48,633, 72,971.46 and 27,856.50 is: 41,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,633 : 72,971.46 = 27,856.50 : x
  2. Step 2: Convert to fraction form
    48,633/72,971.46 = 27,856.50/x
  3. Step 3: Cross multiply
    48,633x = 72,971.46 × 27,856.50
  4. Step 4: Simplify right side
    48,633x = 2,032,729,475.49
  5. Step 5: Solve for x
    x = 2,032,729,475.49/48,633
  6. Step 6: Final answer
    x = 41,797.33

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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.