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Finding the Fourth Proportional to 93,902.50, 140,824.01 and 30,708.02

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Solution

The fourth proportional to 93,902.50, 140,824.01 and 30,708.02 is: 46,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,902.50 : 140,824.01 = 30,708.02 : x
  2. Step 2: Convert to fraction form
    93,902.50/140,824.01 = 30,708.02/x
  3. Step 3: Cross multiply
    93,902.50x = 140,824.01 × 30,708.02
  4. Step 4: Simplify right side
    93,902.50x = 4,324,426,515.56
  5. Step 5: Solve for x
    x = 4,324,426,515.56/93,902.50
  6. Step 6: Final answer
    x = 46,052.30

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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.