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Finding the Fourth Proportional to 82,167.24, 113,381.02 and 46,355.16

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Solution

The fourth proportional to 82,167.24, 113,381.02 and 46,355.16 is: 63,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.24 : 113,381.02 = 46,355.16 : x
  2. Step 2: Convert to fraction form
    82,167.24/113,381.02 = 46,355.16/x
  3. Step 3: Cross multiply
    82,167.24x = 113,381.02 × 46,355.16
  4. Step 4: Simplify right side
    82,167.24x = 5,255,795,323.06
  5. Step 5: Solve for x
    x = 5,255,795,323.06/82,167.24
  6. Step 6: Final answer
    x = 63,964.61

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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.