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Finding the Fourth Proportional to 32,042.49, 44,218.41 and 17,896.25

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Solution

The fourth proportional to 32,042.49, 44,218.41 and 17,896.25 is: 24,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.49 : 44,218.41 = 17,896.25 : x
  2. Step 2: Convert to fraction form
    32,042.49/44,218.41 = 17,896.25/x
  3. Step 3: Cross multiply
    32,042.49x = 44,218.41 × 17,896.25
  4. Step 4: Simplify right side
    32,042.49x = 791,343,498.87
  5. Step 5: Solve for x
    x = 791,343,498.87/32,042.49
  6. Step 6: Final answer
    x = 24,696.69

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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.