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Finding the Fourth Proportional to 52,644.78, 78,981.84 and 29,287.62

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Solution

The fourth proportional to 52,644.78, 78,981.84 and 29,287.62 is: 43,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.78 : 78,981.84 = 29,287.62 : x
  2. Step 2: Convert to fraction form
    52,644.78/78,981.84 = 29,287.62/x
  3. Step 3: Cross multiply
    52,644.78x = 78,981.84 × 29,287.62
  4. Step 4: Simplify right side
    52,644.78x = 2,313,190,116.82
  5. Step 5: Solve for x
    x = 2,313,190,116.82/52,644.78
  6. Step 6: Final answer
    x = 43,939.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.