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Finding the Fourth Proportional to 82,915.82, 124,334.83 and 30,288.50

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Solution

The fourth proportional to 82,915.82, 124,334.83 and 30,288.50 is: 45,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.82 : 124,334.83 = 30,288.50 : x
  2. Step 2: Convert to fraction form
    82,915.82/124,334.83 = 30,288.50/x
  3. Step 3: Cross multiply
    82,915.82x = 124,334.83 × 30,288.50
  4. Step 4: Simplify right side
    82,915.82x = 3,765,915,498.46
  5. Step 5: Solve for x
    x = 3,765,915,498.46/82,915.82
  6. Step 6: Final answer
    x = 45,418.54

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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.