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Finding the Fourth Proportional to 31,949.58, 47,953.87 and 16,165.72

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Solution

The fourth proportional to 31,949.58, 47,953.87 and 16,165.72 is: 24,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.58 : 47,953.87 = 16,165.72 : x
  2. Step 2: Convert to fraction form
    31,949.58/47,953.87 = 16,165.72/x
  3. Step 3: Cross multiply
    31,949.58x = 47,953.87 × 16,165.72
  4. Step 4: Simplify right side
    31,949.58x = 775,208,675.04
  5. Step 5: Solve for x
    x = 775,208,675.04/31,949.58
  6. Step 6: Final answer
    x = 24,263.50

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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.