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Finding the Fourth Proportional to 29,162.25, 40,246.65 and 16,587

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Solution

The fourth proportional to 29,162.25, 40,246.65 and 16,587 is: 22,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,162.25 : 40,246.65 = 16,587 : x
  2. Step 2: Convert to fraction form
    29,162.25/40,246.65 = 16,587/x
  3. Step 3: Cross multiply
    29,162.25x = 40,246.65 × 16,587
  4. Step 4: Simplify right side
    29,162.25x = 667,571,183.55
  5. Step 5: Solve for x
    x = 667,571,183.55/29,162.25
  6. Step 6: Final answer
    x = 22,891.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.