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Finding the Fourth Proportional to 31,160.88, 46,741.32 and 19,760.07

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Solution

The fourth proportional to 31,160.88, 46,741.32 and 19,760.07 is: 29,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.88 : 46,741.32 = 19,760.07 : x
  2. Step 2: Convert to fraction form
    31,160.88/46,741.32 = 19,760.07/x
  3. Step 3: Cross multiply
    31,160.88x = 46,741.32 × 19,760.07
  4. Step 4: Simplify right side
    31,160.88x = 923,611,755.09
  5. Step 5: Solve for x
    x = 923,611,755.09/31,160.88
  6. Step 6: Final answer
    x = 29,640.11

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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.