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Finding the Fourth Proportional to 83,324.34, 114,984.74 and 47,525.88

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Solution

The fourth proportional to 83,324.34, 114,984.74 and 47,525.88 is: 65,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324.34 : 114,984.74 = 47,525.88 : x
  2. Step 2: Convert to fraction form
    83,324.34/114,984.74 = 47,525.88/x
  3. Step 3: Cross multiply
    83,324.34x = 114,984.74 × 47,525.88
  4. Step 4: Simplify right side
    83,324.34x = 5,464,750,717.44
  5. Step 5: Solve for x
    x = 5,464,750,717.44/83,324.34
  6. Step 6: Final answer
    x = 65,584.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.