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Finding the Fourth Proportional to 82,492.84, 113,839.14 and 48,523.24

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Solution

The fourth proportional to 82,492.84, 113,839.14 and 48,523.24 is: 66,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,492.84 : 113,839.14 = 48,523.24 : x
  2. Step 2: Convert to fraction form
    82,492.84/113,839.14 = 48,523.24/x
  3. Step 3: Cross multiply
    82,492.84x = 113,839.14 × 48,523.24
  4. Step 4: Simplify right side
    82,492.84x = 5,523,843,911.61
  5. Step 5: Solve for x
    x = 5,523,843,911.61/82,492.84
  6. Step 6: Final answer
    x = 66,961.50

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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.