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Finding the Fourth Proportional to 43,251, 64,876.50 and 10,419

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Solution

The fourth proportional to 43,251, 64,876.50 and 10,419 is: 15,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,251 : 64,876.50 = 10,419 : x
  2. Step 2: Convert to fraction form
    43,251/64,876.50 = 10,419/x
  3. Step 3: Cross multiply
    43,251x = 64,876.50 × 10,419
  4. Step 4: Simplify right side
    43,251x = 675,948,253.50
  5. Step 5: Solve for x
    x = 675,948,253.50/43,251
  6. Step 6: Final answer
    x = 15,628.50

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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.