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Finding the Fourth Proportional to 38,553, 53,205.88 and 23,442.86

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Solution

The fourth proportional to 38,553, 53,205.88 and 23,442.86 is: 32,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,553 : 53,205.88 = 23,442.86 : x
  2. Step 2: Convert to fraction form
    38,553/53,205.88 = 23,442.86/x
  3. Step 3: Cross multiply
    38,553x = 53,205.88 × 23,442.86
  4. Step 4: Simplify right side
    38,553x = 1,247,297,996.02
  5. Step 5: Solve for x
    x = 1,247,297,996.02/38,553
  6. Step 6: Final answer
    x = 32,352.81

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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.