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Finding the Fourth Proportional to 53,379.96, 80,098.49 and 34,655.60

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Solution

The fourth proportional to 53,379.96, 80,098.49 and 34,655.60 is: 52,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,379.96 : 80,098.49 = 34,655.60 : x
  2. Step 2: Convert to fraction form
    53,379.96/80,098.49 = 34,655.60/x
  3. Step 3: Cross multiply
    53,379.96x = 80,098.49 × 34,655.60
  4. Step 4: Simplify right side
    53,379.96x = 2,775,861,230.04
  5. Step 5: Solve for x
    x = 2,775,861,230.04/53,379.96
  6. Step 6: Final answer
    x = 52,001.94

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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.