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Finding the Fourth Proportional to 69,011.94, 103,506.17 and 22,264.82

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Solution

The fourth proportional to 69,011.94, 103,506.17 and 22,264.82 is: 33,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,011.94 : 103,506.17 = 22,264.82 : x
  2. Step 2: Convert to fraction form
    69,011.94/103,506.17 = 22,264.82/x
  3. Step 3: Cross multiply
    69,011.94x = 103,506.17 × 22,264.82
  4. Step 4: Simplify right side
    69,011.94x = 2,304,545,615.08
  5. Step 5: Solve for x
    x = 2,304,545,615.08/69,011.94
  6. Step 6: Final answer
    x = 33,393.43

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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.