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Finding the Fourth Proportional to 72,838.80, 109,193.40 and 47,890.80

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Solution

The fourth proportional to 72,838.80, 109,193.40 and 47,890.80 is: 71,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,838.80 : 109,193.40 = 47,890.80 : x
  2. Step 2: Convert to fraction form
    72,838.80/109,193.40 = 47,890.80/x
  3. Step 3: Cross multiply
    72,838.80x = 109,193.40 × 47,890.80
  4. Step 4: Simplify right side
    72,838.80x = 5,229,359,280.72
  5. Step 5: Solve for x
    x = 5,229,359,280.72/72,838.80
  6. Step 6: Final answer
    x = 71,793.59

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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.