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Finding the Fourth Proportional to 32,078.10, 44,267.15 and 17,738.44

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Solution

The fourth proportional to 32,078.10, 44,267.15 and 17,738.44 is: 24,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.10 : 44,267.15 = 17,738.44 : x
  2. Step 2: Convert to fraction form
    32,078.10/44,267.15 = 17,738.44/x
  3. Step 3: Cross multiply
    32,078.10x = 44,267.15 × 17,738.44
  4. Step 4: Simplify right side
    32,078.10x = 785,230,117.92
  5. Step 5: Solve for x
    x = 785,230,117.92/32,078.10
  6. Step 6: Final answer
    x = 24,478.70

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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.