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Finding the Fourth Proportional to 32,104.42, 44,316.28 and 28,741

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Solution

The fourth proportional to 32,104.42, 44,316.28 and 28,741 is: 39,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.42 : 44,316.28 = 28,741 : x
  2. Step 2: Convert to fraction form
    32,104.42/44,316.28 = 28,741/x
  3. Step 3: Cross multiply
    32,104.42x = 44,316.28 × 28,741
  4. Step 4: Simplify right side
    32,104.42x = 1,273,694,203.48
  5. Step 5: Solve for x
    x = 1,273,694,203.48/32,104.42
  6. Step 6: Final answer
    x = 39,673.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.