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Finding the Fourth Proportional to 53,471.64, 73,796.36 and 30,811.48

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Solution

The fourth proportional to 53,471.64, 73,796.36 and 30,811.48 is: 42,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.64 : 73,796.36 = 30,811.48 : x
  2. Step 2: Convert to fraction form
    53,471.64/73,796.36 = 30,811.48/x
  3. Step 3: Cross multiply
    53,471.64x = 73,796.36 × 30,811.48
  4. Step 4: Simplify right side
    53,471.64x = 2,273,775,070.21
  5. Step 5: Solve for x
    x = 2,273,775,070.21/53,471.64
  6. Step 6: Final answer
    x = 42,523.01

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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.