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Finding the Fourth Proportional to 82,217.87, 113,461 and 44,492.12

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Solution

The fourth proportional to 82,217.87, 113,461 and 44,492.12 is: 61,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.87 : 113,461 = 44,492.12 : x
  2. Step 2: Convert to fraction form
    82,217.87/113,461 = 44,492.12/x
  3. Step 3: Cross multiply
    82,217.87x = 113,461 × 44,492.12
  4. Step 4: Simplify right side
    82,217.87x = 5,048,119,860.02
  5. Step 5: Solve for x
    x = 5,048,119,860.02/82,217.87
  6. Step 6: Final answer
    x = 61,399.31

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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.