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Finding the Fourth Proportional to 31,901.56, 47,848.70 and 8,529.82

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Solution

The fourth proportional to 31,901.56, 47,848.70 and 8,529.82 is: 12,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.56 : 47,848.70 = 8,529.82 : x
  2. Step 2: Convert to fraction form
    31,901.56/47,848.70 = 8,529.82/x
  3. Step 3: Cross multiply
    31,901.56x = 47,848.70 × 8,529.82
  4. Step 4: Simplify right side
    31,901.56x = 408,140,967.00
  5. Step 5: Solve for x
    x = 408,140,967.00/31,901.56
  6. Step 6: Final answer
    x = 12,793.76

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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.