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Finding the Fourth Proportional to 53,468.64, 73,789.34 and 30,811.16

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Solution

The fourth proportional to 53,468.64, 73,789.34 and 30,811.16 is: 42,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468.64 : 73,789.34 = 30,811.16 : x
  2. Step 2: Convert to fraction form
    53,468.64/73,789.34 = 30,811.16/x
  3. Step 3: Cross multiply
    53,468.64x = 73,789.34 × 30,811.16
  4. Step 4: Simplify right side
    53,468.64x = 2,273,535,161.03
  5. Step 5: Solve for x
    x = 2,273,535,161.03/53,468.64
  6. Step 6: Final answer
    x = 42,520.91

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