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Finding the Fourth Proportional to 93,352.56, 139,983.36 and 31,002

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Solution

The fourth proportional to 93,352.56, 139,983.36 and 31,002 is: 46,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,352.56 : 139,983.36 = 31,002 : x
  2. Step 2: Convert to fraction form
    93,352.56/139,983.36 = 31,002/x
  3. Step 3: Cross multiply
    93,352.56x = 139,983.36 × 31,002
  4. Step 4: Simplify right side
    93,352.56x = 4,339,764,126.72
  5. Step 5: Solve for x
    x = 4,339,764,126.72/93,352.56
  6. Step 6: Final answer
    x = 46,487.90

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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.