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Finding the Fourth Proportional to 38,324, 57,486 and 10,622

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Solution

The fourth proportional to 38,324, 57,486 and 10,622 is: 15,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 57,486 = 10,622 : x
  2. Step 2: Convert to fraction form
    38,324/57,486 = 10,622/x
  3. Step 3: Cross multiply
    38,324x = 57,486 × 10,622
  4. Step 4: Simplify right side
    38,324x = 610,616,292
  5. Step 5: Solve for x
    x = 610,616,292/38,324
  6. Step 6: Final answer
    x = 15,933

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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.