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Finding the Fourth Proportional to 38,282.49, 52,828.20 and 21,287.88

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Solution

The fourth proportional to 38,282.49, 52,828.20 and 21,287.88 is: 29,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.49 : 52,828.20 = 21,287.88 : x
  2. Step 2: Convert to fraction form
    38,282.49/52,828.20 = 21,287.88/x
  3. Step 3: Cross multiply
    38,282.49x = 52,828.20 × 21,287.88
  4. Step 4: Simplify right side
    38,282.49x = 1,124,600,382.22
  5. Step 5: Solve for x
    x = 1,124,600,382.22/38,282.49
  6. Step 6: Final answer
    x = 29,376.36

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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.