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Finding the Fourth Proportional to 34,720.91, 51,998.23 and 32,977.11

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Solution

The fourth proportional to 34,720.91, 51,998.23 and 32,977.11 is: 49,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720.91 : 51,998.23 = 32,977.11 : x
  2. Step 2: Convert to fraction form
    34,720.91/51,998.23 = 32,977.11/x
  3. Step 3: Cross multiply
    34,720.91x = 51,998.23 × 32,977.11
  4. Step 4: Simplify right side
    34,720.91x = 1,714,751,350.52
  5. Step 5: Solve for x
    x = 1,714,751,350.52/34,720.91
  6. Step 6: Final answer
    x = 49,386.71

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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.