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Finding the Fourth Proportional to 31,643.76, 47,464.02 and 8,269.32

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Solution

The fourth proportional to 31,643.76, 47,464.02 and 8,269.32 is: 12,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.76 : 47,464.02 = 8,269.32 : x
  2. Step 2: Convert to fraction form
    31,643.76/47,464.02 = 8,269.32/x
  3. Step 3: Cross multiply
    31,643.76x = 47,464.02 × 8,269.32
  4. Step 4: Simplify right side
    31,643.76x = 392,495,169.87
  5. Step 5: Solve for x
    x = 392,495,169.87/31,643.76
  6. Step 6: Final answer
    x = 12,403.56

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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.