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Finding the Fourth Proportional to 83,104.10, 124,571.10 and 40,919.30

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Solution

The fourth proportional to 83,104.10, 124,571.10 and 40,919.30 is: 61,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.10 : 124,571.10 = 40,919.30 : x
  2. Step 2: Convert to fraction form
    83,104.10/124,571.10 = 40,919.30/x
  3. Step 3: Cross multiply
    83,104.10x = 124,571.10 × 40,919.30
  4. Step 4: Simplify right side
    83,104.10x = 5,097,362,212.23
  5. Step 5: Solve for x
    x = 5,097,362,212.23/83,104.10
  6. Step 6: Final answer
    x = 61,337.07

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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.