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Finding the Fourth Proportional to 47,874.52, 71,704.85 and 34,696.63

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Solution

The fourth proportional to 47,874.52, 71,704.85 and 34,696.63 is: 51,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.52 : 71,704.85 = 34,696.63 : x
  2. Step 2: Convert to fraction form
    47,874.52/71,704.85 = 34,696.63/x
  3. Step 3: Cross multiply
    47,874.52x = 71,704.85 × 34,696.63
  4. Step 4: Simplify right side
    47,874.52x = 2,487,916,649.66
  5. Step 5: Solve for x
    x = 2,487,916,649.66/47,874.52
  6. Step 6: Final answer
    x = 51,967.45

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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.