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Finding the Fourth Proportional to 82,019.84, 113,184.84 and 46,207.04

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Solution

The fourth proportional to 82,019.84, 113,184.84 and 46,207.04 is: 63,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019.84 : 113,184.84 = 46,207.04 : x
  2. Step 2: Convert to fraction form
    82,019.84/113,184.84 = 46,207.04/x
  3. Step 3: Cross multiply
    82,019.84x = 113,184.84 × 46,207.04
  4. Step 4: Simplify right side
    82,019.84x = 5,229,936,429.27
  5. Step 5: Solve for x
    x = 5,229,936,429.27/82,019.84
  6. Step 6: Final answer
    x = 63,764.28

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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.