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Finding the Fourth Proportional to 27,552, 38,121.84 and 24,022.56

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Solution

The fourth proportional to 27,552, 38,121.84 and 24,022.56 is: 33,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552 : 38,121.84 = 24,022.56 : x
  2. Step 2: Convert to fraction form
    27,552/38,121.84 = 24,022.56/x
  3. Step 3: Cross multiply
    27,552x = 38,121.84 × 24,022.56
  4. Step 4: Simplify right side
    27,552x = 915,784,188.71
  5. Step 5: Solve for x
    x = 915,784,188.71/27,552
  6. Step 6: Final answer
    x = 33,238.39

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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.