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Finding the Fourth Proportional to 82,227.72, 113,474.34 and 44,501.88

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Solution

The fourth proportional to 82,227.72, 113,474.34 and 44,501.88 is: 61,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.72 : 113,474.34 = 44,501.88 : x
  2. Step 2: Convert to fraction form
    82,227.72/113,474.34 = 44,501.88/x
  3. Step 3: Cross multiply
    82,227.72x = 113,474.34 × 44,501.88
  4. Step 4: Simplify right side
    82,227.72x = 5,049,821,461.76
  5. Step 5: Solve for x
    x = 5,049,821,461.76/82,227.72
  6. Step 6: Final answer
    x = 61,412.64

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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.