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Finding the Fourth Proportional to 50,378, 69,523.27 and 27,715.82

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Solution

The fourth proportional to 50,378, 69,523.27 and 27,715.82 is: 38,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378 : 69,523.27 = 27,715.82 : x
  2. Step 2: Convert to fraction form
    50,378/69,523.27 = 27,715.82/x
  3. Step 3: Cross multiply
    50,378x = 69,523.27 × 27,715.82
  4. Step 4: Simplify right side
    50,378x = 1,926,894,437.13
  5. Step 5: Solve for x
    x = 1,926,894,437.13/50,378
  6. Step 6: Final answer
    x = 38,248.73

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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.