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Finding the Fourth Proportional to 75,461.48, 113,044.31 and 43,805.16

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Solution

The fourth proportional to 75,461.48, 113,044.31 and 43,805.16 is: 65,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.48 : 113,044.31 = 43,805.16 : x
  2. Step 2: Convert to fraction form
    75,461.48/113,044.31 = 43,805.16/x
  3. Step 3: Cross multiply
    75,461.48x = 113,044.31 × 43,805.16
  4. Step 4: Simplify right side
    75,461.48x = 4,951,924,086.64
  5. Step 5: Solve for x
    x = 4,951,924,086.64/75,461.48
  6. Step 6: Final answer
    x = 65,621.88

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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.