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Finding the Fourth Proportional to 29,578.37, 44,389.42 and 10,870

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Solution

The fourth proportional to 29,578.37, 44,389.42 and 10,870 is: 16,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.37 : 44,389.42 = 10,870 : x
  2. Step 2: Convert to fraction form
    29,578.37/44,389.42 = 10,870/x
  3. Step 3: Cross multiply
    29,578.37x = 44,389.42 × 10,870
  4. Step 4: Simplify right side
    29,578.37x = 482,513,022.58
  5. Step 5: Solve for x
    x = 482,513,022.58/29,578.37
  6. Step 6: Final answer
    x = 16,313.04

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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.