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Finding the Fourth Proportional to 38,539.40, 53,183.39 and 23,432.49

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Solution

The fourth proportional to 38,539.40, 53,183.39 and 23,432.49 is: 32,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.40 : 53,183.39 = 23,432.49 : x
  2. Step 2: Convert to fraction form
    38,539.40/53,183.39 = 23,432.49/x
  3. Step 3: Cross multiply
    38,539.40x = 53,183.39 × 23,432.49
  4. Step 4: Simplify right side
    38,539.40x = 1,246,219,137.18
  5. Step 5: Solve for x
    x = 1,246,219,137.18/38,539.40
  6. Step 6: Final answer
    x = 32,336.24

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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.