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Finding the Fourth Proportional to 67,634.48, 101,461.44 and 20,891

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Solution

The fourth proportional to 67,634.48, 101,461.44 and 20,891 is: 31,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,634.48 : 101,461.44 = 20,891 : x
  2. Step 2: Convert to fraction form
    67,634.48/101,461.44 = 20,891/x
  3. Step 3: Cross multiply
    67,634.48x = 101,461.44 × 20,891
  4. Step 4: Simplify right side
    67,634.48x = 2,119,630,943.04
  5. Step 5: Solve for x
    x = 2,119,630,943.04/67,634.48
  6. Step 6: Final answer
    x = 31,339.50

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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.