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Finding the Fourth Proportional to 31,596.28, 47,392.98 and 7,904.08

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Solution

The fourth proportional to 31,596.28, 47,392.98 and 7,904.08 is: 11,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.28 : 47,392.98 = 7,904.08 : x
  2. Step 2: Convert to fraction form
    31,596.28/47,392.98 = 7,904.08/x
  3. Step 3: Cross multiply
    31,596.28x = 47,392.98 × 7,904.08
  4. Step 4: Simplify right side
    31,596.28x = 374,597,905.36
  5. Step 5: Solve for x
    x = 374,597,905.36/31,596.28
  6. Step 6: Final answer
    x = 11,855.76

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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.