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Finding the Fourth Proportional to 64,163.34, 96,249.87 and 17,415

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Solution

The fourth proportional to 64,163.34, 96,249.87 and 17,415 is: 26,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163.34 : 96,249.87 = 17,415 : x
  2. Step 2: Convert to fraction form
    64,163.34/96,249.87 = 17,415/x
  3. Step 3: Cross multiply
    64,163.34x = 96,249.87 × 17,415
  4. Step 4: Simplify right side
    64,163.34x = 1,676,191,486.05
  5. Step 5: Solve for x
    x = 1,676,191,486.05/64,163.34
  6. Step 6: Final answer
    x = 26,123.82

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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.