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Finding the Fourth Proportional to 47,356.80, 71,035.20 and 29,846.40

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Solution

The fourth proportional to 47,356.80, 71,035.20 and 29,846.40 is: 44,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356.80 : 71,035.20 = 29,846.40 : x
  2. Step 2: Convert to fraction form
    47,356.80/71,035.20 = 29,846.40/x
  3. Step 3: Cross multiply
    47,356.80x = 71,035.20 × 29,846.40
  4. Step 4: Simplify right side
    47,356.80x = 2,120,144,993.28
  5. Step 5: Solve for x
    x = 2,120,144,993.28/47,356.80
  6. Step 6: Final answer
    x = 44,769.60

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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.