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Finding the Fourth Proportional to 34,361.47, 47,420 and 32,786.83

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Solution

The fourth proportional to 34,361.47, 47,420 and 32,786.83 is: 45,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361.47 : 47,420 = 32,786.83 : x
  2. Step 2: Convert to fraction form
    34,361.47/47,420 = 32,786.83/x
  3. Step 3: Cross multiply
    34,361.47x = 47,420 × 32,786.83
  4. Step 4: Simplify right side
    34,361.47x = 1,554,751,478.60
  5. Step 5: Solve for x
    x = 1,554,751,478.60/34,361.47
  6. Step 6: Final answer
    x = 45,246.94

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.