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Finding the Fourth Proportional to 31,896.32, 47,849.34 and 16,308.68

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Solution

The fourth proportional to 31,896.32, 47,849.34 and 16,308.68 is: 24,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.32 : 47,849.34 = 16,308.68 : x
  2. Step 2: Convert to fraction form
    31,896.32/47,849.34 = 16,308.68/x
  3. Step 3: Cross multiply
    31,896.32x = 47,849.34 × 16,308.68
  4. Step 4: Simplify right side
    31,896.32x = 780,359,574.27
  5. Step 5: Solve for x
    x = 780,359,574.27/31,896.32
  6. Step 6: Final answer
    x = 24,465.50

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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.