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Finding the Fourth Proportional to 32,059.98, 44,299.44 and 27,778.32

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Solution

The fourth proportional to 32,059.98, 44,299.44 and 27,778.32 is: 38,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.98 : 44,299.44 = 27,778.32 : x
  2. Step 2: Convert to fraction form
    32,059.98/44,299.44 = 27,778.32/x
  3. Step 3: Cross multiply
    32,059.98x = 44,299.44 × 27,778.32
  4. Step 4: Simplify right side
    32,059.98x = 1,230,564,020.14
  5. Step 5: Solve for x
    x = 1,230,564,020.14/32,059.98
  6. Step 6: Final answer
    x = 38,383.18

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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.