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Finding the Fourth Proportional to 31,206.60, 43,767 and 31,206.60

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Solution

The fourth proportional to 31,206.60, 43,767 and 31,206.60 is: 43,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.60 : 43,767 = 31,206.60 : x
  2. Step 2: Convert to fraction form
    31,206.60/43,767 = 31,206.60/x
  3. Step 3: Cross multiply
    31,206.60x = 43,767 × 31,206.60
  4. Step 4: Simplify right side
    31,206.60x = 1,365,819,262.20
  5. Step 5: Solve for x
    x = 1,365,819,262.20/31,206.60
  6. Step 6: Final answer
    x = 43,767

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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.