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Finding the Fourth Proportional to 31,104.30, 46,656.45 and 27,734.70

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Solution

The fourth proportional to 31,104.30, 46,656.45 and 27,734.70 is: 41,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.30 : 46,656.45 = 27,734.70 : x
  2. Step 2: Convert to fraction form
    31,104.30/46,656.45 = 27,734.70/x
  3. Step 3: Cross multiply
    31,104.30x = 46,656.45 × 27,734.70
  4. Step 4: Simplify right side
    31,104.30x = 1,294,002,643.82
  5. Step 5: Solve for x
    x = 1,294,002,643.82/31,104.30
  6. Step 6: Final answer
    x = 41,602.05

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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.