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Finding the Fourth Proportional to 29,706.42, 40,993.08 and 16,275

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Solution

The fourth proportional to 29,706.42, 40,993.08 and 16,275 is: 22,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.42 : 40,993.08 = 16,275 : x
  2. Step 2: Convert to fraction form
    29,706.42/40,993.08 = 16,275/x
  3. Step 3: Cross multiply
    29,706.42x = 40,993.08 × 16,275
  4. Step 4: Simplify right side
    29,706.42x = 667,162,377
  5. Step 5: Solve for x
    x = 667,162,377/29,706.42
  6. Step 6: Final answer
    x = 22,458.53

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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.