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Finding the Fourth Proportional to 31,138.64, 42,970.92 and 16,991.24

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Solution

The fourth proportional to 31,138.64, 42,970.92 and 16,991.24 is: 23,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.64 : 42,970.92 = 16,991.24 : x
  2. Step 2: Convert to fraction form
    31,138.64/42,970.92 = 16,991.24/x
  3. Step 3: Cross multiply
    31,138.64x = 42,970.92 × 16,991.24
  4. Step 4: Simplify right side
    31,138.64x = 730,129,214.74
  5. Step 5: Solve for x
    x = 730,129,214.74/31,138.64
  6. Step 6: Final answer
    x = 23,447.69

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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.