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Finding the Fourth Proportional to 31,171.22, 46,759.95 and 8,985.14

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Solution

The fourth proportional to 31,171.22, 46,759.95 and 8,985.14 is: 13,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.22 : 46,759.95 = 8,985.14 : x
  2. Step 2: Convert to fraction form
    31,171.22/46,759.95 = 8,985.14/x
  3. Step 3: Cross multiply
    31,171.22x = 46,759.95 × 8,985.14
  4. Step 4: Simplify right side
    31,171.22x = 420,144,697.14
  5. Step 5: Solve for x
    x = 420,144,697.14/31,171.22
  6. Step 6: Final answer
    x = 13,478.61

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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.