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Finding the Fourth Proportional to 31,141.92, 42,975.54 and 16,994.64

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Solution

The fourth proportional to 31,141.92, 42,975.54 and 16,994.64 is: 23,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.92 : 42,975.54 = 16,994.64 : x
  2. Step 2: Convert to fraction form
    31,141.92/42,975.54 = 16,994.64/x
  3. Step 3: Cross multiply
    31,141.92x = 42,975.54 × 16,994.64
  4. Step 4: Simplify right side
    31,141.92x = 730,353,831.11
  5. Step 5: Solve for x
    x = 730,353,831.11/31,141.92
  6. Step 6: Final answer
    x = 23,452.43

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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.