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Finding the Fourth Proportional to 29,677.98, 40,955.62 and 16,249.24

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Solution

The fourth proportional to 29,677.98, 40,955.62 and 16,249.24 is: 22,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.98 : 40,955.62 = 16,249.24 : x
  2. Step 2: Convert to fraction form
    29,677.98/40,955.62 = 16,249.24/x
  3. Step 3: Cross multiply
    29,677.98x = 40,955.62 × 16,249.24
  4. Step 4: Simplify right side
    29,677.98x = 665,497,698.73
  5. Step 5: Solve for x
    x = 665,497,698.73/29,677.98
  6. Step 6: Final answer
    x = 22,423.95

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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.