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Finding the Fourth Proportional to 50,549.84, 69,758.11 and 27,889.78

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Solution

The fourth proportional to 50,549.84, 69,758.11 and 27,889.78 is: 38,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.84 : 69,758.11 = 27,889.78 : x
  2. Step 2: Convert to fraction form
    50,549.84/69,758.11 = 27,889.78/x
  3. Step 3: Cross multiply
    50,549.84x = 69,758.11 × 27,889.78
  4. Step 4: Simplify right side
    50,549.84x = 1,945,538,341.12
  5. Step 5: Solve for x
    x = 1,945,538,341.12/50,549.84
  6. Step 6: Final answer
    x = 38,487.53

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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.