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Finding the Fourth Proportional to 72,077.84, 108,116.76 and 22,826

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Solution

The fourth proportional to 72,077.84, 108,116.76 and 22,826 is: 34,239

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,077.84 : 108,116.76 = 22,826 : x
  2. Step 2: Convert to fraction form
    72,077.84/108,116.76 = 22,826/x
  3. Step 3: Cross multiply
    72,077.84x = 108,116.76 × 22,826
  4. Step 4: Simplify right side
    72,077.84x = 2,467,873,163.76
  5. Step 5: Solve for x
    x = 2,467,873,163.76/72,077.84
  6. Step 6: Final answer
    x = 34,239

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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.