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Finding the Fourth Proportional to 31,737.96, 43,775.64 and 20,970.36

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Solution

The fourth proportional to 31,737.96, 43,775.64 and 20,970.36 is: 28,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.96 : 43,775.64 = 20,970.36 : x
  2. Step 2: Convert to fraction form
    31,737.96/43,775.64 = 20,970.36/x
  3. Step 3: Cross multiply
    31,737.96x = 43,775.64 × 20,970.36
  4. Step 4: Simplify right side
    31,737.96x = 917,990,930.03
  5. Step 5: Solve for x
    x = 917,990,930.03/31,737.96
  6. Step 6: Final answer
    x = 28,924.07

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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.