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Finding the Fourth Proportional to 31,737.93, 43,784.25 and 20,405.32

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Solution

The fourth proportional to 31,737.93, 43,784.25 and 20,405.32 is: 28,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.93 : 43,784.25 = 20,405.32 : x
  2. Step 2: Convert to fraction form
    31,737.93/43,784.25 = 20,405.32/x
  3. Step 3: Cross multiply
    31,737.93x = 43,784.25 × 20,405.32
  4. Step 4: Simplify right side
    31,737.93x = 893,431,446.23
  5. Step 5: Solve for x
    x = 893,431,446.23/31,737.93
  6. Step 6: Final answer
    x = 28,150.28

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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.