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Finding the Fourth Proportional to 32,110.92, 44,314.74 and 17,964

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Solution

The fourth proportional to 32,110.92, 44,314.74 and 17,964 is: 24,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110.92 : 44,314.74 = 17,964 : x
  2. Step 2: Convert to fraction form
    32,110.92/44,314.74 = 17,964/x
  3. Step 3: Cross multiply
    32,110.92x = 44,314.74 × 17,964
  4. Step 4: Simplify right side
    32,110.92x = 796,069,989.36
  5. Step 5: Solve for x
    x = 796,069,989.36/32,110.92
  6. Step 6: Final answer
    x = 24,791.25

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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.