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Finding the Fourth Proportional to 42,772.60, 64,231.80 and 30,379.60

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Solution

The fourth proportional to 42,772.60, 64,231.80 and 30,379.60 is: 45,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.60 : 64,231.80 = 30,379.60 : x
  2. Step 2: Convert to fraction form
    42,772.60/64,231.80 = 30,379.60/x
  3. Step 3: Cross multiply
    42,772.60x = 64,231.80 × 30,379.60
  4. Step 4: Simplify right side
    42,772.60x = 1,951,336,391.28
  5. Step 5: Solve for x
    x = 1,951,336,391.28/42,772.60
  6. Step 6: Final answer
    x = 45,621.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.