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Finding the Fourth Proportional to 32,116.18, 44,320 and 17,969.13

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Solution

The fourth proportional to 32,116.18, 44,320 and 17,969.13 is: 24,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.18 : 44,320 = 17,969.13 : x
  2. Step 2: Convert to fraction form
    32,116.18/44,320 = 17,969.13/x
  3. Step 3: Cross multiply
    32,116.18x = 44,320 × 17,969.13
  4. Step 4: Simplify right side
    32,116.18x = 796,391,841.60
  5. Step 5: Solve for x
    x = 796,391,841.60/32,116.18
  6. Step 6: Final answer
    x = 24,797.22

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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.