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Finding the Fourth Proportional to 31,006.20, 43,467 and 31,006.20

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Solution

The fourth proportional to 31,006.20, 43,467 and 31,006.20 is: 43,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.20 : 43,467 = 31,006.20 : x
  2. Step 2: Convert to fraction form
    31,006.20/43,467 = 31,006.20/x
  3. Step 3: Cross multiply
    31,006.20x = 43,467 × 31,006.20
  4. Step 4: Simplify right side
    31,006.20x = 1,347,746,495.40
  5. Step 5: Solve for x
    x = 1,347,746,495.40/31,006.20
  6. Step 6: Final answer
    x = 43,467

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.