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Finding the Fourth Proportional to 82,491.84, 113,837.76 and 48,522.24

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Solution

The fourth proportional to 82,491.84, 113,837.76 and 48,522.24 is: 66,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.84 : 113,837.76 = 48,522.24 : x
  2. Step 2: Convert to fraction form
    82,491.84/113,837.76 = 48,522.24/x
  3. Step 3: Cross multiply
    82,491.84x = 113,837.76 × 48,522.24
  4. Step 4: Simplify right side
    82,491.84x = 5,523,663,111.78
  5. Step 5: Solve for x
    x = 5,523,663,111.78/82,491.84
  6. Step 6: Final answer
    x = 66,960.12

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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.