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Finding the Fourth Proportional to 67,318.84, 100,978.50 and 20,571.52

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Solution

The fourth proportional to 67,318.84, 100,978.50 and 20,571.52 is: 30,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318.84 : 100,978.50 = 20,571.52 : x
  2. Step 2: Convert to fraction form
    67,318.84/100,978.50 = 20,571.52/x
  3. Step 3: Cross multiply
    67,318.84x = 100,978.50 × 20,571.52
  4. Step 4: Simplify right side
    67,318.84x = 2,077,281,232.32
  5. Step 5: Solve for x
    x = 2,077,281,232.32/67,318.84
  6. Step 6: Final answer
    x = 30,857.35

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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.