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Finding the Fourth Proportional to 31,924.16, 47,892.24 and 9,739.52

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Solution

The fourth proportional to 31,924.16, 47,892.24 and 9,739.52 is: 14,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.16 : 47,892.24 = 9,739.52 : x
  2. Step 2: Convert to fraction form
    31,924.16/47,892.24 = 9,739.52/x
  3. Step 3: Cross multiply
    31,924.16x = 47,892.24 × 9,739.52
  4. Step 4: Simplify right side
    31,924.16x = 466,447,429.32
  5. Step 5: Solve for x
    x = 466,447,429.32/31,924.16
  6. Step 6: Final answer
    x = 14,611.11

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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.