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Finding the Fourth Proportional to 48,222, 72,312.72 and 18,231.20

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Solution

The fourth proportional to 48,222, 72,312.72 and 18,231.20 is: 27,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 72,312.72 = 18,231.20 : x
  2. Step 2: Convert to fraction form
    48,222/72,312.72 = 18,231.20/x
  3. Step 3: Cross multiply
    48,222x = 72,312.72 × 18,231.20
  4. Step 4: Simplify right side
    48,222x = 1,318,347,299.30
  5. Step 5: Solve for x
    x = 1,318,347,299.30/48,222
  6. Step 6: Final answer
    x = 27,339.13

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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.