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Finding the Fourth Proportional to 38,238.99, 52,770.47 and 22,324.11

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Solution

The fourth proportional to 38,238.99, 52,770.47 and 22,324.11 is: 30,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.99 : 52,770.47 = 22,324.11 : x
  2. Step 2: Convert to fraction form
    38,238.99/52,770.47 = 22,324.11/x
  3. Step 3: Cross multiply
    38,238.99x = 52,770.47 × 22,324.11
  4. Step 4: Simplify right side
    38,238.99x = 1,178,053,665.41
  5. Step 5: Solve for x
    x = 1,178,053,665.41/38,238.99
  6. Step 6: Final answer
    x = 30,807.66

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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.