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Finding the Fourth Proportional to 93,740.80, 140,611.20 and 31,411.30

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Solution

The fourth proportional to 93,740.80, 140,611.20 and 31,411.30 is: 47,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,740.80 : 140,611.20 = 31,411.30 : x
  2. Step 2: Convert to fraction form
    93,740.80/140,611.20 = 31,411.30/x
  3. Step 3: Cross multiply
    93,740.80x = 140,611.20 × 31,411.30
  4. Step 4: Simplify right side
    93,740.80x = 4,416,780,586.56
  5. Step 5: Solve for x
    x = 4,416,780,586.56/93,740.80
  6. Step 6: Final answer
    x = 47,116.95

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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.