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Finding the Fourth Proportional to 93,722.80, 140,584.20 and 31,393.30

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Solution

The fourth proportional to 93,722.80, 140,584.20 and 31,393.30 is: 47,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,722.80 : 140,584.20 = 31,393.30 : x
  2. Step 2: Convert to fraction form
    93,722.80/140,584.20 = 31,393.30/x
  3. Step 3: Cross multiply
    93,722.80x = 140,584.20 × 31,393.30
  4. Step 4: Simplify right side
    93,722.80x = 4,413,401,965.86
  5. Step 5: Solve for x
    x = 4,413,401,965.86/93,722.80
  6. Step 6: Final answer
    x = 47,089.95

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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.