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Finding the Fourth Proportional to 82,429.92, 113,758.94 and 46,619.92

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Solution

The fourth proportional to 82,429.92, 113,758.94 and 46,619.92 is: 64,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,429.92 : 113,758.94 = 46,619.92 : x
  2. Step 2: Convert to fraction form
    82,429.92/113,758.94 = 46,619.92/x
  3. Step 3: Cross multiply
    82,429.92x = 113,758.94 × 46,619.92
  4. Step 4: Simplify right side
    82,429.92x = 5,303,432,682.08
  5. Step 5: Solve for x
    x = 5,303,432,682.08/82,429.92
  6. Step 6: Final answer
    x = 64,338.69

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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.