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Finding the Fourth Proportional to 38,315.96, 52,883.32 and 23,982.47

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Solution

The fourth proportional to 38,315.96, 52,883.32 and 23,982.47 is: 33,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.96 : 52,883.32 = 23,982.47 : x
  2. Step 2: Convert to fraction form
    38,315.96/52,883.32 = 23,982.47/x
  3. Step 3: Cross multiply
    38,315.96x = 52,883.32 × 23,982.47
  4. Step 4: Simplify right side
    38,315.96x = 1,268,272,635.40
  5. Step 5: Solve for x
    x = 1,268,272,635.40/38,315.96
  6. Step 6: Final answer
    x = 33,100.37

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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.