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Finding the Fourth Proportional to 66,431.82, 99,648.09 and 19,685.10

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Solution

The fourth proportional to 66,431.82, 99,648.09 and 19,685.10 is: 29,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,431.82 : 99,648.09 = 19,685.10 : x
  2. Step 2: Convert to fraction form
    66,431.82/99,648.09 = 19,685.10/x
  3. Step 3: Cross multiply
    66,431.82x = 99,648.09 × 19,685.10
  4. Step 4: Simplify right side
    66,431.82x = 1,961,582,616.46
  5. Step 5: Solve for x
    x = 1,961,582,616.46/66,431.82
  6. Step 6: Final answer
    x = 29,527.76

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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.