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Finding the Fourth Proportional to 45,735.63, 68,532.63 and 31,722.90

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Solution

The fourth proportional to 45,735.63, 68,532.63 and 31,722.90 is: 47,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,735.63 : 68,532.63 = 31,722.90 : x
  2. Step 2: Convert to fraction form
    45,735.63/68,532.63 = 31,722.90/x
  3. Step 3: Cross multiply
    45,735.63x = 68,532.63 × 31,722.90
  4. Step 4: Simplify right side
    45,735.63x = 2,174,053,768.23
  5. Step 5: Solve for x
    x = 2,174,053,768.23/45,735.63
  6. Step 6: Final answer
    x = 47,535.23

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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.