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Finding the Fourth Proportional to 53,198.70, 73,412.64 and 34,335.96

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Solution

The fourth proportional to 53,198.70, 73,412.64 and 34,335.96 is: 47,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.70 : 73,412.64 = 34,335.96 : x
  2. Step 2: Convert to fraction form
    53,198.70/73,412.64 = 34,335.96/x
  3. Step 3: Cross multiply
    53,198.70x = 73,412.64 × 34,335.96
  4. Step 4: Simplify right side
    53,198.70x = 2,520,693,470.53
  5. Step 5: Solve for x
    x = 2,520,693,470.53/53,198.70
  6. Step 6: Final answer
    x = 47,382.61

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Why These Related Problems?

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