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Finding the Fourth Proportional to 32,311.74, 44,590.44 and 17,971.77

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Solution

The fourth proportional to 32,311.74, 44,590.44 and 17,971.77 is: 24,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.74 : 44,590.44 = 17,971.77 : x
  2. Step 2: Convert to fraction form
    32,311.74/44,590.44 = 17,971.77/x
  3. Step 3: Cross multiply
    32,311.74x = 44,590.44 × 17,971.77
  4. Step 4: Simplify right side
    32,311.74x = 801,369,131.88
  5. Step 5: Solve for x
    x = 801,369,131.88/32,311.74
  6. Step 6: Final answer
    x = 24,801.18

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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.