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Finding the Fourth Proportional to 68,555.20, 102,784.20 and 31,133.20

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Solution

The fourth proportional to 68,555.20, 102,784.20 and 31,133.20 is: 46,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,555.20 : 102,784.20 = 31,133.20 : x
  2. Step 2: Convert to fraction form
    68,555.20/102,784.20 = 31,133.20/x
  3. Step 3: Cross multiply
    68,555.20x = 102,784.20 × 31,133.20
  4. Step 4: Simplify right side
    68,555.20x = 3,200,001,055.44
  5. Step 5: Solve for x
    x = 3,200,001,055.44/68,555.20
  6. Step 6: Final answer
    x = 46,677.73

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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.