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Finding the Fourth Proportional to 31,157.98, 46,735.41 and 11,434.98

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Solution

The fourth proportional to 31,157.98, 46,735.41 and 11,434.98 is: 17,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.98 : 46,735.41 = 11,434.98 : x
  2. Step 2: Convert to fraction form
    31,157.98/46,735.41 = 11,434.98/x
  3. Step 3: Cross multiply
    31,157.98x = 46,735.41 × 11,434.98
  4. Step 4: Simplify right side
    31,157.98x = 534,418,696.78
  5. Step 5: Solve for x
    x = 534,418,696.78/31,157.98
  6. Step 6: Final answer
    x = 17,151.91

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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.