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Finding the Fourth Proportional to 47,889.72, 71,634.52 and 33,657.20

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Solution

The fourth proportional to 47,889.72, 71,634.52 and 33,657.20 is: 50,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889.72 : 71,634.52 = 33,657.20 : x
  2. Step 2: Convert to fraction form
    47,889.72/71,634.52 = 33,657.20/x
  3. Step 3: Cross multiply
    47,889.72x = 71,634.52 × 33,657.20
  4. Step 4: Simplify right side
    47,889.72x = 2,411,017,366.54
  5. Step 5: Solve for x
    x = 2,411,017,366.54/47,889.72
  6. Step 6: Final answer
    x = 50,345.20

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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.