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Finding the Fourth Proportional to 38,398.56, 52,989.12 and 21,402.78

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Solution

The fourth proportional to 38,398.56, 52,989.12 and 21,402.78 is: 29,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398.56 : 52,989.12 = 21,402.78 : x
  2. Step 2: Convert to fraction form
    38,398.56/52,989.12 = 21,402.78/x
  3. Step 3: Cross multiply
    38,398.56x = 52,989.12 × 21,402.78
  4. Step 4: Simplify right side
    38,398.56x = 1,134,114,477.75
  5. Step 5: Solve for x
    x = 1,134,114,477.75/38,398.56
  6. Step 6: Final answer
    x = 29,535.34

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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.