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Finding the Fourth Proportional to 31,165.52, 46,720.52 and 11,439.50

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Solution

The fourth proportional to 31,165.52, 46,720.52 and 11,439.50 is: 17,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.52 : 46,720.52 = 11,439.50 : x
  2. Step 2: Convert to fraction form
    31,165.52/46,720.52 = 11,439.50/x
  3. Step 3: Cross multiply
    31,165.52x = 46,720.52 × 11,439.50
  4. Step 4: Simplify right side
    31,165.52x = 534,459,183.54
  5. Step 5: Solve for x
    x = 534,459,183.54/31,165.52
  6. Step 6: Final answer
    x = 17,149.06

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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.