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Finding the Fourth Proportional to 38,215, 52,737.06 and 21,448.36

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Solution

The fourth proportional to 38,215, 52,737.06 and 21,448.36 is: 29,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215 : 52,737.06 = 21,448.36 : x
  2. Step 2: Convert to fraction form
    38,215/52,737.06 = 21,448.36/x
  3. Step 3: Cross multiply
    38,215x = 52,737.06 × 21,448.36
  4. Step 4: Simplify right side
    38,215x = 1,131,123,448.22
  5. Step 5: Solve for x
    x = 1,131,123,448.22/38,215
  6. Step 6: Final answer
    x = 29,598.94

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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.