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Finding the Fourth Proportional to 82,642.24, 114,043.08 and 44,915.68

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Solution

The fourth proportional to 82,642.24, 114,043.08 and 44,915.68 is: 61,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.24 : 114,043.08 = 44,915.68 : x
  2. Step 2: Convert to fraction form
    82,642.24/114,043.08 = 44,915.68/x
  3. Step 3: Cross multiply
    82,642.24x = 114,043.08 × 44,915.68
  4. Step 4: Simplify right side
    82,642.24x = 5,122,322,487.49
  5. Step 5: Solve for x
    x = 5,122,322,487.49/82,642.24
  6. Step 6: Final answer
    x = 61,981.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.