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Finding the Fourth Proportional to 53,678.56, 74,063.04 and 32,171.71

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Solution

The fourth proportional to 53,678.56, 74,063.04 and 32,171.71 is: 44,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,678.56 : 74,063.04 = 32,171.71 : x
  2. Step 2: Convert to fraction form
    53,678.56/74,063.04 = 32,171.71/x
  3. Step 3: Cross multiply
    53,678.56x = 74,063.04 × 32,171.71
  4. Step 4: Simplify right side
    53,678.56x = 2,382,734,644.60
  5. Step 5: Solve for x
    x = 2,382,734,644.60/53,678.56
  6. Step 6: Final answer
    x = 44,388.94

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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.