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Finding the Fourth Proportional to 64,102.70, 96,154.13 and 16,717.76

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Solution

The fourth proportional to 64,102.70, 96,154.13 and 16,717.76 is: 25,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,102.70 : 96,154.13 = 16,717.76 : x
  2. Step 2: Convert to fraction form
    64,102.70/96,154.13 = 16,717.76/x
  3. Step 3: Cross multiply
    64,102.70x = 96,154.13 × 16,717.76
  4. Step 4: Simplify right side
    64,102.70x = 1,607,481,103.99
  5. Step 5: Solve for x
    x = 1,607,481,103.99/64,102.70
  6. Step 6: Final answer
    x = 25,076.65

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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.