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Finding the Fourth Proportional to 43,231, 64,846.52 and 10,399

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Solution

The fourth proportional to 43,231, 64,846.52 and 10,399 is: 15,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,231 : 64,846.52 = 10,399 : x
  2. Step 2: Convert to fraction form
    43,231/64,846.52 = 10,399/x
  3. Step 3: Cross multiply
    43,231x = 64,846.52 × 10,399
  4. Step 4: Simplify right side
    43,231x = 674,338,961.48
  5. Step 5: Solve for x
    x = 674,338,961.48/43,231
  6. Step 6: Final answer
    x = 15,598.50

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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.