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Finding the Fourth Proportional to 53,188.92, 73,399.82 and 29,317.82

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Solution

The fourth proportional to 53,188.92, 73,399.82 and 29,317.82 is: 40,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,188.92 : 73,399.82 = 29,317.82 : x
  2. Step 2: Convert to fraction form
    53,188.92/73,399.82 = 29,317.82/x
  3. Step 3: Cross multiply
    53,188.92x = 73,399.82 × 29,317.82
  4. Step 4: Simplify right side
    53,188.92x = 2,151,922,197.20
  5. Step 5: Solve for x
    x = 2,151,922,197.20/53,188.92
  6. Step 6: Final answer
    x = 40,458.09

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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.