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Finding the Fourth Proportional to 66,144.72, 99,230.74 and 21,774.13

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Solution

The fourth proportional to 66,144.72, 99,230.74 and 21,774.13 is: 32,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,144.72 : 99,230.74 = 21,774.13 : x
  2. Step 2: Convert to fraction form
    66,144.72/99,230.74 = 21,774.13/x
  3. Step 3: Cross multiply
    66,144.72x = 99,230.74 × 21,774.13
  4. Step 4: Simplify right side
    66,144.72x = 2,160,663,059.97
  5. Step 5: Solve for x
    x = 2,160,663,059.97/66,144.72
  6. Step 6: Final answer
    x = 32,665.69

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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.