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Finding the Fourth Proportional to 29,846.24, 41,188.82 and 16,418

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Solution

The fourth proportional to 29,846.24, 41,188.82 and 16,418 is: 22,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.24 : 41,188.82 = 16,418 : x
  2. Step 2: Convert to fraction form
    29,846.24/41,188.82 = 16,418/x
  3. Step 3: Cross multiply
    29,846.24x = 41,188.82 × 16,418
  4. Step 4: Simplify right side
    29,846.24x = 676,238,046.76
  5. Step 5: Solve for x
    x = 676,238,046.76/29,846.24
  6. Step 6: Final answer
    x = 22,657.39

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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.