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Finding the Fourth Proportional to 82,464.94, 113,804.40 and 48,472.96

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Solution

The fourth proportional to 82,464.94, 113,804.40 and 48,472.96 is: 66,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464.94 : 113,804.40 = 48,472.96 : x
  2. Step 2: Convert to fraction form
    82,464.94/113,804.40 = 48,472.96/x
  3. Step 3: Cross multiply
    82,464.94x = 113,804.40 × 48,472.96
  4. Step 4: Simplify right side
    82,464.94x = 5,516,436,129.02
  5. Step 5: Solve for x
    x = 5,516,436,129.02/82,464.94
  6. Step 6: Final answer
    x = 66,894.32

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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.