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Finding the Fourth Proportional to 73,214.88, 109,822.08 and 26,467.68

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Solution

The fourth proportional to 73,214.88, 109,822.08 and 26,467.68 is: 39,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.88 : 109,822.08 = 26,467.68 : x
  2. Step 2: Convert to fraction form
    73,214.88/109,822.08 = 26,467.68/x
  3. Step 3: Cross multiply
    73,214.88x = 109,822.08 × 26,467.68
  4. Step 4: Simplify right side
    73,214.88x = 2,906,735,670.37
  5. Step 5: Solve for x
    x = 2,906,735,670.37/73,214.88
  6. Step 6: Final answer
    x = 39,701.43

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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.