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Finding the Fourth Proportional to 27,879.82, 38,472.74 and 16,549.80

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Solution

The fourth proportional to 27,879.82, 38,472.74 and 16,549.80 is: 22,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.82 : 38,472.74 = 16,549.80 : x
  2. Step 2: Convert to fraction form
    27,879.82/38,472.74 = 16,549.80/x
  3. Step 3: Cross multiply
    27,879.82x = 38,472.74 × 16,549.80
  4. Step 4: Simplify right side
    27,879.82x = 636,716,152.45
  5. Step 5: Solve for x
    x = 636,716,152.45/27,879.82
  6. Step 6: Final answer
    x = 22,837.89

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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.