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Finding the Fourth Proportional to 35,978.88, 49,633.92 and 23,399.04

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Solution

The fourth proportional to 35,978.88, 49,633.92 and 23,399.04 is: 32,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.88 : 49,633.92 = 23,399.04 : x
  2. Step 2: Convert to fraction form
    35,978.88/49,633.92 = 23,399.04/x
  3. Step 3: Cross multiply
    35,978.88x = 49,633.92 × 23,399.04
  4. Step 4: Simplify right side
    35,978.88x = 1,161,386,079.44
  5. Step 5: Solve for x
    x = 1,161,386,079.44/35,978.88
  6. Step 6: Final answer
    x = 32,279.66

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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.