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Finding the Fourth Proportional to 32,103.64, 44,307.22 and 17,959.40

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Solution

The fourth proportional to 32,103.64, 44,307.22 and 17,959.40 is: 24,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.64 : 44,307.22 = 17,959.40 : x
  2. Step 2: Convert to fraction form
    32,103.64/44,307.22 = 17,959.40/x
  3. Step 3: Cross multiply
    32,103.64x = 44,307.22 × 17,959.40
  4. Step 4: Simplify right side
    32,103.64x = 795,731,086.87
  5. Step 5: Solve for x
    x = 795,731,086.87/32,103.64
  6. Step 6: Final answer
    x = 24,786.32

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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.