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Finding the Fourth Proportional to 53,474.34, 73,811.04 and 30,828.48

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Solution

The fourth proportional to 53,474.34, 73,811.04 and 30,828.48 is: 42,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.34 : 73,811.04 = 30,828.48 : x
  2. Step 2: Convert to fraction form
    53,474.34/73,811.04 = 30,828.48/x
  3. Step 3: Cross multiply
    53,474.34x = 73,811.04 × 30,828.48
  4. Step 4: Simplify right side
    53,474.34x = 2,275,482,170.42
  5. Step 5: Solve for x
    x = 2,275,482,170.42/53,474.34
  6. Step 6: Final answer
    x = 42,552.79

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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.