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Finding the Fourth Proportional to 30,297.88, 41,814.31 and 17,733.16

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Solution

The fourth proportional to 30,297.88, 41,814.31 and 17,733.16 is: 24,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.88 : 41,814.31 = 17,733.16 : x
  2. Step 2: Convert to fraction form
    30,297.88/41,814.31 = 17,733.16/x
  3. Step 3: Cross multiply
    30,297.88x = 41,814.31 × 17,733.16
  4. Step 4: Simplify right side
    30,297.88x = 741,499,849.52
  5. Step 5: Solve for x
    x = 741,499,849.52/30,297.88
  6. Step 6: Final answer
    x = 24,473.65

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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.