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Finding the Fourth Proportional to 47,202.50, 70,803.94 and 19,123.09

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Solution

The fourth proportional to 47,202.50, 70,803.94 and 19,123.09 is: 28,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202.50 : 70,803.94 = 19,123.09 : x
  2. Step 2: Convert to fraction form
    47,202.50/70,803.94 = 19,123.09/x
  3. Step 3: Cross multiply
    47,202.50x = 70,803.94 × 19,123.09
  4. Step 4: Simplify right side
    47,202.50x = 1,353,990,116.97
  5. Step 5: Solve for x
    x = 1,353,990,116.97/47,202.50
  6. Step 6: Final answer
    x = 28,684.71

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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.