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Finding the Fourth Proportional to 67,356.32, 101,121.96 and 51,784.88

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Solution

The fourth proportional to 67,356.32, 101,121.96 and 51,784.88 is: 77,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,356.32 : 101,121.96 = 51,784.88 : x
  2. Step 2: Convert to fraction form
    67,356.32/101,121.96 = 51,784.88/x
  3. Step 3: Cross multiply
    67,356.32x = 101,121.96 × 51,784.88
  4. Step 4: Simplify right side
    67,356.32x = 5,236,588,563.96
  5. Step 5: Solve for x
    x = 5,236,588,563.96/67,356.32
  6. Step 6: Final answer
    x = 77,744.58

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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.