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Finding the Fourth Proportional to 44,633.92, 66,980.04 and 23,872

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Solution

The fourth proportional to 44,633.92, 66,980.04 and 23,872 is: 35,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633.92 : 66,980.04 = 23,872 : x
  2. Step 2: Convert to fraction form
    44,633.92/66,980.04 = 23,872/x
  3. Step 3: Cross multiply
    44,633.92x = 66,980.04 × 23,872
  4. Step 4: Simplify right side
    44,633.92x = 1,598,947,514.88
  5. Step 5: Solve for x
    x = 1,598,947,514.88/44,633.92
  6. Step 6: Final answer
    x = 35,823.60

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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.