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Finding the Fourth Proportional to 31,227.40, 46,841.10 and 27,946.90

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Solution

The fourth proportional to 31,227.40, 46,841.10 and 27,946.90 is: 41,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.40 : 46,841.10 = 27,946.90 : x
  2. Step 2: Convert to fraction form
    31,227.40/46,841.10 = 27,946.90/x
  3. Step 3: Cross multiply
    31,227.40x = 46,841.10 × 27,946.90
  4. Step 4: Simplify right side
    31,227.40x = 1,309,063,537.59
  5. Step 5: Solve for x
    x = 1,309,063,537.59/31,227.40
  6. Step 6: Final answer
    x = 41,920.35

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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.