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Finding the Fourth Proportional to 38,420.88, 53,014.01 and 21,423.78

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Solution

The fourth proportional to 38,420.88, 53,014.01 and 21,423.78 is: 29,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.88 : 53,014.01 = 21,423.78 : x
  2. Step 2: Convert to fraction form
    38,420.88/53,014.01 = 21,423.78/x
  3. Step 3: Cross multiply
    38,420.88x = 53,014.01 × 21,423.78
  4. Step 4: Simplify right side
    38,420.88x = 1,135,760,380.04
  5. Step 5: Solve for x
    x = 1,135,760,380.04/38,420.88
  6. Step 6: Final answer
    x = 29,561.02

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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.