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Finding the Fourth Proportional to 31,530.52, 47,263.84 and 20,444.24

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Solution

The fourth proportional to 31,530.52, 47,263.84 and 20,444.24 is: 30,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.52 : 47,263.84 = 20,444.24 : x
  2. Step 2: Convert to fraction form
    31,530.52/47,263.84 = 20,444.24/x
  3. Step 3: Cross multiply
    31,530.52x = 47,263.84 × 20,444.24
  4. Step 4: Simplify right side
    31,530.52x = 966,273,288.28
  5. Step 5: Solve for x
    x = 966,273,288.28/31,530.52
  6. Step 6: Final answer
    x = 30,645.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.