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Finding the Fourth Proportional to 82,414.80, 113,646.96 and 70,517.52

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Solution

The fourth proportional to 82,414.80, 113,646.96 and 70,517.52 is: 97,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.80 : 113,646.96 = 70,517.52 : x
  2. Step 2: Convert to fraction form
    82,414.80/113,646.96 = 70,517.52/x
  3. Step 3: Cross multiply
    82,414.80x = 113,646.96 × 70,517.52
  4. Step 4: Simplify right side
    82,414.80x = 8,014,101,774.74
  5. Step 5: Solve for x
    x = 8,014,101,774.74/82,414.80
  6. Step 6: Final answer
    x = 97,241.05

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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.