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Finding the Fourth Proportional to 29,494.52, 40,706.16 and 16,919

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Solution

The fourth proportional to 29,494.52, 40,706.16 and 16,919 is: 23,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494.52 : 40,706.16 = 16,919 : x
  2. Step 2: Convert to fraction form
    29,494.52/40,706.16 = 16,919/x
  3. Step 3: Cross multiply
    29,494.52x = 40,706.16 × 16,919
  4. Step 4: Simplify right side
    29,494.52x = 688,707,521.04
  5. Step 5: Solve for x
    x = 688,707,521.04/29,494.52
  6. Step 6: Final answer
    x = 23,350.36

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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.