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Finding the Fourth Proportional to 99,569.70, 149,355.72 and 29,450.40

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Solution

The fourth proportional to 99,569.70, 149,355.72 and 29,450.40 is: 44,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,569.70 : 149,355.72 = 29,450.40 : x
  2. Step 2: Convert to fraction form
    99,569.70/149,355.72 = 29,450.40/x
  3. Step 3: Cross multiply
    99,569.70x = 149,355.72 × 29,450.40
  4. Step 4: Simplify right side
    99,569.70x = 4,398,585,696.29
  5. Step 5: Solve for x
    x = 4,398,585,696.29/99,569.70
  6. Step 6: Final answer
    x = 44,175.95

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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.