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Finding the Fourth Proportional to 38,493.29, 53,120.22 and 21,497.84

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Solution

The fourth proportional to 38,493.29, 53,120.22 and 21,497.84 is: 29,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.29 : 53,120.22 = 21,497.84 : x
  2. Step 2: Convert to fraction form
    38,493.29/53,120.22 = 21,497.84/x
  3. Step 3: Cross multiply
    38,493.29x = 53,120.22 × 21,497.84
  4. Step 4: Simplify right side
    38,493.29x = 1,141,969,964.23
  5. Step 5: Solve for x
    x = 1,141,969,964.23/38,493.29
  6. Step 6: Final answer
    x = 29,666.73

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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.