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Finding the Fourth Proportional to 53,998.90, 80,998.35 and 34,299.70

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Solution

The fourth proportional to 53,998.90, 80,998.35 and 34,299.70 is: 51,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,998.90 : 80,998.35 = 34,299.70 : x
  2. Step 2: Convert to fraction form
    53,998.90/80,998.35 = 34,299.70/x
  3. Step 3: Cross multiply
    53,998.90x = 80,998.35 × 34,299.70
  4. Step 4: Simplify right side
    53,998.90x = 2,778,219,105.50
  5. Step 5: Solve for x
    x = 2,778,219,105.50/53,998.90
  6. Step 6: Final answer
    x = 51,449.55

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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.