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Finding the Fourth Proportional to 31,900.34, 47,850.52 and 14,349.66

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Solution

The fourth proportional to 31,900.34, 47,850.52 and 14,349.66 is: 21,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.34 : 47,850.52 = 14,349.66 : x
  2. Step 2: Convert to fraction form
    31,900.34/47,850.52 = 14,349.66/x
  3. Step 3: Cross multiply
    31,900.34x = 47,850.52 × 14,349.66
  4. Step 4: Simplify right side
    31,900.34x = 686,638,692.82
  5. Step 5: Solve for x
    x = 686,638,692.82/31,900.34
  6. Step 6: Final answer
    x = 21,524.50

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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.