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Finding the Fourth Proportional to 32,444.10, 44,772.87 and 17,540.10

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Solution

The fourth proportional to 32,444.10, 44,772.87 and 17,540.10 is: 24,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444.10 : 44,772.87 = 17,540.10 : x
  2. Step 2: Convert to fraction form
    32,444.10/44,772.87 = 17,540.10/x
  3. Step 3: Cross multiply
    32,444.10x = 44,772.87 × 17,540.10
  4. Step 4: Simplify right side
    32,444.10x = 785,320,617.09
  5. Step 5: Solve for x
    x = 785,320,617.09/32,444.10
  6. Step 6: Final answer
    x = 24,205.34

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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.