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Finding the Fourth Proportional to 82,227.30, 113,473.74 and 44,501.58

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Solution

The fourth proportional to 82,227.30, 113,473.74 and 44,501.58 is: 61,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.30 : 113,473.74 = 44,501.58 : x
  2. Step 2: Convert to fraction form
    82,227.30/113,473.74 = 44,501.58/x
  3. Step 3: Cross multiply
    82,227.30x = 113,473.74 × 44,501.58
  4. Step 4: Simplify right side
    82,227.30x = 5,049,760,718.51
  5. Step 5: Solve for x
    x = 5,049,760,718.51/82,227.30
  6. Step 6: Final answer
    x = 61,412.22

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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.