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Finding the Fourth Proportional to 38,434, 57,651 and 10,732

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Solution

The fourth proportional to 38,434, 57,651 and 10,732 is: 16,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 57,651 = 10,732 : x
  2. Step 2: Convert to fraction form
    38,434/57,651 = 10,732/x
  3. Step 3: Cross multiply
    38,434x = 57,651 × 10,732
  4. Step 4: Simplify right side
    38,434x = 618,710,532
  5. Step 5: Solve for x
    x = 618,710,532/38,434
  6. Step 6: Final answer
    x = 16,098

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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.