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Finding the Fourth Proportional to 75,843.60, 113,784.16 and 34,279.44

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Solution

The fourth proportional to 75,843.60, 113,784.16 and 34,279.44 is: 51,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.60 : 113,784.16 = 34,279.44 : x
  2. Step 2: Convert to fraction form
    75,843.60/113,784.16 = 34,279.44/x
  3. Step 3: Cross multiply
    75,843.60x = 113,784.16 × 34,279.44
  4. Step 4: Simplify right side
    75,843.60x = 3,900,457,285.67
  5. Step 5: Solve for x
    x = 3,900,457,285.67/75,843.60
  6. Step 6: Final answer
    x = 51,427.64

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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.