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Finding the Fourth Proportional to 31,138.52, 42,970.92 and 17,709.76

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Solution

The fourth proportional to 31,138.52, 42,970.92 and 17,709.76 is: 24,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.52 : 42,970.92 = 17,709.76 : x
  2. Step 2: Convert to fraction form
    31,138.52/42,970.92 = 17,709.76/x
  3. Step 3: Cross multiply
    31,138.52x = 42,970.92 × 17,709.76
  4. Step 4: Simplify right side
    31,138.52x = 761,004,680.18
  5. Step 5: Solve for x
    x = 761,004,680.18/31,138.52
  6. Step 6: Final answer
    x = 24,439.33

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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.