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Finding the Fourth Proportional to 47,753.54, 71,644.63 and 19,275.84

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Solution

The fourth proportional to 47,753.54, 71,644.63 and 19,275.84 is: 28,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753.54 : 71,644.63 = 19,275.84 : x
  2. Step 2: Convert to fraction form
    47,753.54/71,644.63 = 19,275.84/x
  3. Step 3: Cross multiply
    47,753.54x = 71,644.63 × 19,275.84
  4. Step 4: Simplify right side
    47,753.54x = 1,381,010,424.74
  5. Step 5: Solve for x
    x = 1,381,010,424.74/47,753.54
  6. Step 6: Final answer
    x = 28,919.54

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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.