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Finding the Fourth Proportional to 31,756.52, 47,634.80 and 8,065.84

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Solution

The fourth proportional to 31,756.52, 47,634.80 and 8,065.84 is: 12,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.52 : 47,634.80 = 8,065.84 : x
  2. Step 2: Convert to fraction form
    31,756.52/47,634.80 = 8,065.84/x
  3. Step 3: Cross multiply
    31,756.52x = 47,634.80 × 8,065.84
  4. Step 4: Simplify right side
    31,756.52x = 384,214,773.13
  5. Step 5: Solve for x
    x = 384,214,773.13/31,756.52
  6. Step 6: Final answer
    x = 12,098.77

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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.