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Finding the Fourth Proportional to 38,449, 57,673.56 and 10,747

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Solution

The fourth proportional to 38,449, 57,673.56 and 10,747 is: 16,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449 : 57,673.56 = 10,747 : x
  2. Step 2: Convert to fraction form
    38,449/57,673.56 = 10,747/x
  3. Step 3: Cross multiply
    38,449x = 57,673.56 × 10,747
  4. Step 4: Simplify right side
    38,449x = 619,817,749.32
  5. Step 5: Solve for x
    x = 619,817,749.32/38,449
  6. Step 6: Final answer
    x = 16,120.52

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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.