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Finding the Fourth Proportional to 32,111.66, 44,312.87 and 17,964.50

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Solution

The fourth proportional to 32,111.66, 44,312.87 and 17,964.50 is: 24,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.66 : 44,312.87 = 17,964.50 : x
  2. Step 2: Convert to fraction form
    32,111.66/44,312.87 = 17,964.50/x
  3. Step 3: Cross multiply
    32,111.66x = 44,312.87 × 17,964.50
  4. Step 4: Simplify right side
    32,111.66x = 796,058,241.73
  5. Step 5: Solve for x
    x = 796,058,241.73/32,111.66
  6. Step 6: Final answer
    x = 24,790.32

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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.