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Finding the Fourth Proportional to 38,124, 52,614.36 and 21,360.24

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Solution

The fourth proportional to 38,124, 52,614.36 and 21,360.24 is: 29,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 52,614.36 = 21,360.24 : x
  2. Step 2: Convert to fraction form
    38,124/52,614.36 = 21,360.24/x
  3. Step 3: Cross multiply
    38,124x = 52,614.36 × 21,360.24
  4. Step 4: Simplify right side
    38,124x = 1,123,855,357.05
  5. Step 5: Solve for x
    x = 1,123,855,357.05/38,124
  6. Step 6: Final answer
    x = 29,478.95

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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.