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Finding the Fourth Proportional to 31,808.58, 47,708.01 and 8,434.82

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Solution

The fourth proportional to 31,808.58, 47,708.01 and 8,434.82 is: 12,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.58 : 47,708.01 = 8,434.82 : x
  2. Step 2: Convert to fraction form
    31,808.58/47,708.01 = 8,434.82/x
  3. Step 3: Cross multiply
    31,808.58x = 47,708.01 × 8,434.82
  4. Step 4: Simplify right side
    31,808.58x = 402,408,238.37
  5. Step 5: Solve for x
    x = 402,408,238.37/31,808.58
  6. Step 6: Final answer
    x = 12,650.93

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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.