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Finding the Fourth Proportional to 38,246.92, 52,786.02 and 21,481

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Solution

The fourth proportional to 38,246.92, 52,786.02 and 21,481 is: 29,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246.92 : 52,786.02 = 21,481 : x
  2. Step 2: Convert to fraction form
    38,246.92/52,786.02 = 21,481/x
  3. Step 3: Cross multiply
    38,246.92x = 52,786.02 × 21,481
  4. Step 4: Simplify right side
    38,246.92x = 1,133,896,495.62
  5. Step 5: Solve for x
    x = 1,133,896,495.62/38,246.92
  6. Step 6: Final answer
    x = 29,646.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.