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Finding the Fourth Proportional to 38,522.68, 53,167.42 and 23,420.08

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Solution

The fourth proportional to 38,522.68, 53,167.42 and 23,420.08 is: 32,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.68 : 53,167.42 = 23,420.08 : x
  2. Step 2: Convert to fraction form
    38,522.68/53,167.42 = 23,420.08/x
  3. Step 3: Cross multiply
    38,522.68x = 53,167.42 × 23,420.08
  4. Step 4: Simplify right side
    38,522.68x = 1,245,185,229.79
  5. Step 5: Solve for x
    x = 1,245,185,229.79/38,522.68
  6. Step 6: Final answer
    x = 32,323.43

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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.