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Finding the Fourth Proportional to 73,688.67, 110,427.39 and 42,033.24

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Solution

The fourth proportional to 73,688.67, 110,427.39 and 42,033.24 is: 62,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,688.67 : 110,427.39 = 42,033.24 : x
  2. Step 2: Convert to fraction form
    73,688.67/110,427.39 = 42,033.24/x
  3. Step 3: Cross multiply
    73,688.67x = 110,427.39 × 42,033.24
  4. Step 4: Simplify right side
    73,688.67x = 4,641,620,986.44
  5. Step 5: Solve for x
    x = 4,641,620,986.44/73,688.67
  6. Step 6: Final answer
    x = 62,989.62

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Why These Related Problems?

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