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Finding the Fourth Proportional to 31,922.00, 47,883 and 9,734.88

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Solution

The fourth proportional to 31,922.00, 47,883 and 9,734.88 is: 14,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.00 : 47,883 = 9,734.88 : x
  2. Step 2: Convert to fraction form
    31,922.00/47,883 = 9,734.88/x
  3. Step 3: Cross multiply
    31,922.00x = 47,883 × 9,734.88
  4. Step 4: Simplify right side
    31,922.00x = 466,135,259.04
  5. Step 5: Solve for x
    x = 466,135,259.04/31,922.00
  6. Step 6: Final answer
    x = 14,602.32

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Why These Related Problems?

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