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Finding the Fourth Proportional to 53,494.86, 80,216.37 and 26,829.39

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Solution

The fourth proportional to 53,494.86, 80,216.37 and 26,829.39 is: 40,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.86 : 80,216.37 = 26,829.39 : x
  2. Step 2: Convert to fraction form
    53,494.86/80,216.37 = 26,829.39/x
  3. Step 3: Cross multiply
    53,494.86x = 80,216.37 × 26,829.39
  4. Step 4: Simplify right side
    53,494.86x = 2,152,156,275.11
  5. Step 5: Solve for x
    x = 2,152,156,275.11/53,494.86
  6. Step 6: Final answer
    x = 40,231.09

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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.