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Finding the Fourth Proportional to 66,318.24, 99,474.12 and 24,762

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Solution

The fourth proportional to 66,318.24, 99,474.12 and 24,762 is: 37,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,318.24 : 99,474.12 = 24,762 : x
  2. Step 2: Convert to fraction form
    66,318.24/99,474.12 = 24,762/x
  3. Step 3: Cross multiply
    66,318.24x = 99,474.12 × 24,762
  4. Step 4: Simplify right side
    66,318.24x = 2,463,178,159.44
  5. Step 5: Solve for x
    x = 2,463,178,159.44/66,318.24
  6. Step 6: Final answer
    x = 37,141.79

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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.