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Finding the Fourth Proportional to 82,994.57, 114,531.96 and 47,184.59

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Solution

The fourth proportional to 82,994.57, 114,531.96 and 47,184.59 is: 65,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,994.57 : 114,531.96 = 47,184.59 : x
  2. Step 2: Convert to fraction form
    82,994.57/114,531.96 = 47,184.59/x
  3. Step 3: Cross multiply
    82,994.57x = 114,531.96 × 47,184.59
  4. Step 4: Simplify right side
    82,994.57x = 5,404,143,001.84
  5. Step 5: Solve for x
    x = 5,404,143,001.84/82,994.57
  6. Step 6: Final answer
    x = 65,114.42

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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.