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Finding the Fourth Proportional to 69,675.84, 104,474.88 and 22,916.16

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Solution

The fourth proportional to 69,675.84, 104,474.88 and 22,916.16 is: 34,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,675.84 : 104,474.88 = 22,916.16 : x
  2. Step 2: Convert to fraction form
    69,675.84/104,474.88 = 22,916.16/x
  3. Step 3: Cross multiply
    69,675.84x = 104,474.88 × 22,916.16
  4. Step 4: Simplify right side
    69,675.84x = 2,394,163,066.06
  5. Step 5: Solve for x
    x = 2,394,163,066.06/69,675.84
  6. Step 6: Final answer
    x = 34,361.45

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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.