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Finding the Fourth Proportional to 50,882.32, 70,213.80 and 28,522

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Solution

The fourth proportional to 50,882.32, 70,213.80 and 28,522 is: 39,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.32 : 70,213.80 = 28,522 : x
  2. Step 2: Convert to fraction form
    50,882.32/70,213.80 = 28,522/x
  3. Step 3: Cross multiply
    50,882.32x = 70,213.80 × 28,522
  4. Step 4: Simplify right side
    50,882.32x = 2,002,638,003.60
  5. Step 5: Solve for x
    x = 2,002,638,003.60/50,882.32
  6. Step 6: Final answer
    x = 39,358.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.