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Finding the Fourth Proportional to 82,467, 113,804.46 and 44,741.25

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Solution

The fourth proportional to 82,467, 113,804.46 and 44,741.25 is: 61,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467 : 113,804.46 = 44,741.25 : x
  2. Step 2: Convert to fraction form
    82,467/113,804.46 = 44,741.25/x
  3. Step 3: Cross multiply
    82,467x = 113,804.46 × 44,741.25
  4. Step 4: Simplify right side
    82,467x = 5,091,753,795.98
  5. Step 5: Solve for x
    x = 5,091,753,795.98/82,467
  6. Step 6: Final answer
    x = 61,742.93

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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.