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Finding the Fourth Proportional to 47,796.80, 71,608.80 and 40,884.80

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Solution

The fourth proportional to 47,796.80, 71,608.80 and 40,884.80 is: 61,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.80 : 71,608.80 = 40,884.80 : x
  2. Step 2: Convert to fraction form
    47,796.80/71,608.80 = 40,884.80/x
  3. Step 3: Cross multiply
    47,796.80x = 71,608.80 × 40,884.80
  4. Step 4: Simplify right side
    47,796.80x = 2,927,711,466.24
  5. Step 5: Solve for x
    x = 2,927,711,466.24/47,796.80
  6. Step 6: Final answer
    x = 61,253.29

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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.