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Finding the Fourth Proportional to 48,579.12, 72,869.76 and 22,266

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Solution

The fourth proportional to 48,579.12, 72,869.76 and 22,266 is: 33,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,579.12 : 72,869.76 = 22,266 : x
  2. Step 2: Convert to fraction form
    48,579.12/72,869.76 = 22,266/x
  3. Step 3: Cross multiply
    48,579.12x = 72,869.76 × 22,266
  4. Step 4: Simplify right side
    48,579.12x = 1,622,518,076.16
  5. Step 5: Solve for x
    x = 1,622,518,076.16/48,579.12
  6. Step 6: Final answer
    x = 33,399.50

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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.