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Finding the Fourth Proportional to 82,124.01, 123,204.47 and 29,533.50

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Solution

The fourth proportional to 82,124.01, 123,204.47 and 29,533.50 is: 44,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.01 : 123,204.47 = 29,533.50 : x
  2. Step 2: Convert to fraction form
    82,124.01/123,204.47 = 29,533.50/x
  3. Step 3: Cross multiply
    82,124.01x = 123,204.47 × 29,533.50
  4. Step 4: Simplify right side
    82,124.01x = 3,638,659,067.08
  5. Step 5: Solve for x
    x = 3,638,659,067.08/82,124.01
  6. Step 6: Final answer
    x = 44,306.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.