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Finding the Fourth Proportional to 31,468.64, 47,203.02 and 8,093.25

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Solution

The fourth proportional to 31,468.64, 47,203.02 and 8,093.25 is: 12,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.64 : 47,203.02 = 8,093.25 : x
  2. Step 2: Convert to fraction form
    31,468.64/47,203.02 = 8,093.25/x
  3. Step 3: Cross multiply
    31,468.64x = 47,203.02 × 8,093.25
  4. Step 4: Simplify right side
    31,468.64x = 382,025,841.62
  5. Step 5: Solve for x
    x = 382,025,841.62/31,468.64
  6. Step 6: Final answer
    x = 12,139.89

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1.5x scale

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.