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Finding the Fourth Proportional to 34,752.65, 47,959.40 and 19,644.41

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Solution

The fourth proportional to 34,752.65, 47,959.40 and 19,644.41 is: 27,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752.65 : 47,959.40 = 19,644.41 : x
  2. Step 2: Convert to fraction form
    34,752.65/47,959.40 = 19,644.41/x
  3. Step 3: Cross multiply
    34,752.65x = 47,959.40 × 19,644.41
  4. Step 4: Simplify right side
    34,752.65x = 942,134,285.96
  5. Step 5: Solve for x
    x = 942,134,285.96/34,752.65
  6. Step 6: Final answer
    x = 27,109.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.