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Finding the Fourth Proportional to 82,650, 123,976.02 and 23,485.56

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Solution

The fourth proportional to 82,650, 123,976.02 and 23,485.56 is: 35,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650 : 123,976.02 = 23,485.56 : x
  2. Step 2: Convert to fraction form
    82,650/123,976.02 = 23,485.56/x
  3. Step 3: Cross multiply
    82,650x = 123,976.02 × 23,485.56
  4. Step 4: Simplify right side
    82,650x = 2,911,646,256.27
  5. Step 5: Solve for x
    x = 2,911,646,256.27/82,650
  6. Step 6: Final answer
    x = 35,228.63

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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.