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Finding the Fourth Proportional to 27,355.84, 37,755.84 and 16,178.56

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Solution

The fourth proportional to 27,355.84, 37,755.84 and 16,178.56 is: 22,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,355.84 : 37,755.84 = 16,178.56 : x
  2. Step 2: Convert to fraction form
    27,355.84/37,755.84 = 16,178.56/x
  3. Step 3: Cross multiply
    27,355.84x = 37,755.84 × 16,178.56
  4. Step 4: Simplify right side
    27,355.84x = 610,835,122.79
  5. Step 5: Solve for x
    x = 610,835,122.79/27,355.84
  6. Step 6: Final answer
    x = 22,329.24

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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.