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Finding the Fourth Proportional to 83,218.56, 114,842.48 and 47,408.44

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Solution

The fourth proportional to 83,218.56, 114,842.48 and 47,408.44 is: 65,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.56 : 114,842.48 = 47,408.44 : x
  2. Step 2: Convert to fraction form
    83,218.56/114,842.48 = 47,408.44/x
  3. Step 3: Cross multiply
    83,218.56x = 114,842.48 × 47,408.44
  4. Step 4: Simplify right side
    83,218.56x = 5,444,502,822.53
  5. Step 5: Solve for x
    x = 5,444,502,822.53/83,218.56
  6. Step 6: Final answer
    x = 65,424.14

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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.