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Finding the Fourth Proportional to 31,164.80, 43,007.66 and 17,737.08

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Solution

The fourth proportional to 31,164.80, 43,007.66 and 17,737.08 is: 24,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.80 : 43,007.66 = 17,737.08 : x
  2. Step 2: Convert to fraction form
    31,164.80/43,007.66 = 17,737.08/x
  3. Step 3: Cross multiply
    31,164.80x = 43,007.66 × 17,737.08
  4. Step 4: Simplify right side
    31,164.80x = 762,830,122.58
  5. Step 5: Solve for x
    x = 762,830,122.58/31,164.80
  6. Step 6: Final answer
    x = 24,477.30

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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.