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Finding the Fourth Proportional to 45,084.32, 67,643.76 and 18,782

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Solution

The fourth proportional to 45,084.32, 67,643.76 and 18,782 is: 28,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,084.32 : 67,643.76 = 18,782 : x
  2. Step 2: Convert to fraction form
    45,084.32/67,643.76 = 18,782/x
  3. Step 3: Cross multiply
    45,084.32x = 67,643.76 × 18,782
  4. Step 4: Simplify right side
    45,084.32x = 1,270,485,100.32
  5. Step 5: Solve for x
    x = 1,270,485,100.32/45,084.32
  6. Step 6: Final answer
    x = 28,180.20

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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.