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Finding the Fourth Proportional to 82,836.52, 124,224.54 and 30,230.44

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Solution

The fourth proportional to 82,836.52, 124,224.54 and 30,230.44 is: 45,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836.52 : 124,224.54 = 30,230.44 : x
  2. Step 2: Convert to fraction form
    82,836.52/124,224.54 = 30,230.44/x
  3. Step 3: Cross multiply
    82,836.52x = 124,224.54 × 30,230.44
  4. Step 4: Simplify right side
    82,836.52x = 3,755,362,503.00
  5. Step 5: Solve for x
    x = 3,755,362,503.00/82,836.52
  6. Step 6: Final answer
    x = 45,334.62

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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.