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Finding the Fourth Proportional to 27,651.80, 41,477.70 and 10,123.40

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Solution

The fourth proportional to 27,651.80, 41,477.70 and 10,123.40 is: 15,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.80 : 41,477.70 = 10,123.40 : x
  2. Step 2: Convert to fraction form
    27,651.80/41,477.70 = 10,123.40/x
  3. Step 3: Cross multiply
    27,651.80x = 41,477.70 × 10,123.40
  4. Step 4: Simplify right side
    27,651.80x = 419,895,348.18
  5. Step 5: Solve for x
    x = 419,895,348.18/27,651.80
  6. Step 6: Final answer
    x = 15,185.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.