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Finding the Fourth Proportional to 38,522.41, 53,159.25 and 24,189.67

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Solution

The fourth proportional to 38,522.41, 53,159.25 and 24,189.67 is: 33,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.41 : 53,159.25 = 24,189.67 : x
  2. Step 2: Convert to fraction form
    38,522.41/53,159.25 = 24,189.67/x
  3. Step 3: Cross multiply
    38,522.41x = 53,159.25 × 24,189.67
  4. Step 4: Simplify right side
    38,522.41x = 1,285,904,714.95
  5. Step 5: Solve for x
    x = 1,285,904,714.95/38,522.41
  6. Step 6: Final answer
    x = 33,380.69

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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.