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Finding the Fourth Proportional to 69,506.64, 104,265.36 and 22,764.24

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Solution

The fourth proportional to 69,506.64, 104,265.36 and 22,764.24 is: 34,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,506.64 : 104,265.36 = 22,764.24 : x
  2. Step 2: Convert to fraction form
    69,506.64/104,265.36 = 22,764.24/x
  3. Step 3: Cross multiply
    69,506.64x = 104,265.36 × 22,764.24
  4. Step 4: Simplify right side
    69,506.64x = 2,373,521,678.73
  5. Step 5: Solve for x
    x = 2,373,521,678.73/69,506.64
  6. Step 6: Final answer
    x = 34,148.13

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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.