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Finding the Fourth Proportional to 31,197.56, 46,747.13 and 11,448.95

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Solution

The fourth proportional to 31,197.56, 46,747.13 and 11,448.95 is: 17,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.56 : 46,747.13 = 11,448.95 : x
  2. Step 2: Convert to fraction form
    31,197.56/46,747.13 = 11,448.95/x
  3. Step 3: Cross multiply
    31,197.56x = 46,747.13 × 11,448.95
  4. Step 4: Simplify right side
    31,197.56x = 535,205,263.03
  5. Step 5: Solve for x
    x = 535,205,263.03/31,197.56
  6. Step 6: Final answer
    x = 17,155.36

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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.