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Finding the Fourth Proportional to 22,549.84, 33,832.53 and 10,078.48

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Solution

The fourth proportional to 22,549.84, 33,832.53 and 10,078.48 is: 15,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.84 : 33,832.53 = 10,078.48 : x
  2. Step 2: Convert to fraction form
    22,549.84/33,832.53 = 10,078.48/x
  3. Step 3: Cross multiply
    22,549.84x = 33,832.53 × 10,078.48
  4. Step 4: Simplify right side
    22,549.84x = 340,980,476.95
  5. Step 5: Solve for x
    x = 340,980,476.95/22,549.84
  6. Step 6: Final answer
    x = 15,121.19

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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.