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Finding the Fourth Proportional to 29,471.90, 40,670.24 and 16,042.91

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Solution

The fourth proportional to 29,471.90, 40,670.24 and 16,042.91 is: 22,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.90 : 40,670.24 = 16,042.91 : x
  2. Step 2: Convert to fraction form
    29,471.90/40,670.24 = 16,042.91/x
  3. Step 3: Cross multiply
    29,471.90x = 40,670.24 × 16,042.91
  4. Step 4: Simplify right side
    29,471.90x = 652,468,716.43
  5. Step 5: Solve for x
    x = 652,468,716.43/29,471.90
  6. Step 6: Final answer
    x = 22,138.68

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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.