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Finding the Fourth Proportional to 93,826.62, 140,760.99 and 31,495.50

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Solution

The fourth proportional to 93,826.62, 140,760.99 and 31,495.50 is: 47,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,826.62 : 140,760.99 = 31,495.50 : x
  2. Step 2: Convert to fraction form
    93,826.62/140,760.99 = 31,495.50/x
  3. Step 3: Cross multiply
    93,826.62x = 140,760.99 × 31,495.50
  4. Step 4: Simplify right side
    93,826.62x = 4,433,337,760.55
  5. Step 5: Solve for x
    x = 4,433,337,760.55/93,826.62
  6. Step 6: Final answer
    x = 47,250.32

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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.