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Finding the Fourth Proportional to 82,218, 113,461.66 and 44,493.06

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Solution

The fourth proportional to 82,218, 113,461.66 and 44,493.06 is: 61,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218 : 113,461.66 = 44,493.06 : x
  2. Step 2: Convert to fraction form
    82,218/113,461.66 = 44,493.06/x
  3. Step 3: Cross multiply
    82,218x = 113,461.66 × 44,493.06
  4. Step 4: Simplify right side
    82,218x = 5,048,256,446.08
  5. Step 5: Solve for x
    x = 5,048,256,446.08/82,218
  6. Step 6: Final answer
    x = 61,400.87

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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.