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Finding the Fourth Proportional to 32,105.64, 44,309.98 and 17,961.40

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Solution

The fourth proportional to 32,105.64, 44,309.98 and 17,961.40 is: 24,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.64 : 44,309.98 = 17,961.40 : x
  2. Step 2: Convert to fraction form
    32,105.64/44,309.98 = 17,961.40/x
  3. Step 3: Cross multiply
    32,105.64x = 44,309.98 × 17,961.40
  4. Step 4: Simplify right side
    32,105.64x = 795,869,274.77
  5. Step 5: Solve for x
    x = 795,869,274.77/32,105.64
  6. Step 6: Final answer
    x = 24,789.08

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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.