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Finding the Fourth Proportional to 43,216, 64,824 and 10,384

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Solution

The fourth proportional to 43,216, 64,824 and 10,384 is: 15,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 64,824 = 10,384 : x
  2. Step 2: Convert to fraction form
    43,216/64,824 = 10,384/x
  3. Step 3: Cross multiply
    43,216x = 64,824 × 10,384
  4. Step 4: Simplify right side
    43,216x = 673,132,416
  5. Step 5: Solve for x
    x = 673,132,416/43,216
  6. Step 6: Final answer
    x = 15,576

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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.