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Finding the Fourth Proportional to 73,117, 109,676.10 and 17,713

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Solution

The fourth proportional to 73,117, 109,676.10 and 17,713 is: 26,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,117 : 109,676.10 = 17,713 : x
  2. Step 2: Convert to fraction form
    73,117/109,676.10 = 17,713/x
  3. Step 3: Cross multiply
    73,117x = 109,676.10 × 17,713
  4. Step 4: Simplify right side
    73,117x = 1,942,692,759.30
  5. Step 5: Solve for x
    x = 1,942,692,759.30/73,117
  6. Step 6: Final answer
    x = 26,569.65

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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.