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Finding the Fourth Proportional to 38,148, 52,644.24 and 21,381.12

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Solution

The fourth proportional to 38,148, 52,644.24 and 21,381.12 is: 29,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148 : 52,644.24 = 21,381.12 : x
  2. Step 2: Convert to fraction form
    38,148/52,644.24 = 21,381.12/x
  3. Step 3: Cross multiply
    38,148x = 52,644.24 × 21,381.12
  4. Step 4: Simplify right side
    38,148x = 1,125,592,812.75
  5. Step 5: Solve for x
    x = 1,125,592,812.75/38,148
  6. Step 6: Final answer
    x = 29,505.95

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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.