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Finding the Fourth Proportional to 68,489.76, 102,680.80 and 46,023.24

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Solution

The fourth proportional to 68,489.76, 102,680.80 and 46,023.24 is: 68,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,489.76 : 102,680.80 = 46,023.24 : x
  2. Step 2: Convert to fraction form
    68,489.76/102,680.80 = 46,023.24/x
  3. Step 3: Cross multiply
    68,489.76x = 102,680.80 × 46,023.24
  4. Step 4: Simplify right side
    68,489.76x = 4,725,703,101.79
  5. Step 5: Solve for x
    x = 4,725,703,101.79/68,489.76
  6. Step 6: Final answer
    x = 68,998.68

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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.