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Finding the Fourth Proportional to 32,200.72, 44,447.92 and 20,284

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Solution

The fourth proportional to 32,200.72, 44,447.92 and 20,284 is: 27,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.72 : 44,447.92 = 20,284 : x
  2. Step 2: Convert to fraction form
    32,200.72/44,447.92 = 20,284/x
  3. Step 3: Cross multiply
    32,200.72x = 44,447.92 × 20,284
  4. Step 4: Simplify right side
    32,200.72x = 901,581,609.28
  5. Step 5: Solve for x
    x = 901,581,609.28/32,200.72
  6. Step 6: Final answer
    x = 27,998.80

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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.