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Finding the Fourth Proportional to 82,883.66, 124,382.88 and 32,958.60

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Solution

The fourth proportional to 82,883.66, 124,382.88 and 32,958.60 is: 49,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.66 : 124,382.88 = 32,958.60 : x
  2. Step 2: Convert to fraction form
    82,883.66/124,382.88 = 32,958.60/x
  3. Step 3: Cross multiply
    82,883.66x = 124,382.88 × 32,958.60
  4. Step 4: Simplify right side
    82,883.66x = 4,099,485,588.77
  5. Step 5: Solve for x
    x = 4,099,485,588.77/82,883.66
  6. Step 6: Final answer
    x = 49,460.72

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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.