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Finding the Fourth Proportional to 32,103.54, 44,303.76 and 17,764.11

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Solution

The fourth proportional to 32,103.54, 44,303.76 and 17,764.11 is: 24,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.54 : 44,303.76 = 17,764.11 : x
  2. Step 2: Convert to fraction form
    32,103.54/44,303.76 = 17,764.11/x
  3. Step 3: Cross multiply
    32,103.54x = 44,303.76 × 17,764.11
  4. Step 4: Simplify right side
    32,103.54x = 787,016,866.05
  5. Step 5: Solve for x
    x = 787,016,866.05/32,103.54
  6. Step 6: Final answer
    x = 24,514.96

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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.