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Finding the Fourth Proportional to 85,076.49, 117,412.35 and 49,267.14

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Solution

The fourth proportional to 85,076.49, 117,412.35 and 49,267.14 is: 67,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076.49 : 117,412.35 = 49,267.14 : x
  2. Step 2: Convert to fraction form
    85,076.49/117,412.35 = 49,267.14/x
  3. Step 3: Cross multiply
    85,076.49x = 117,412.35 × 49,267.14
  4. Step 4: Simplify right side
    85,076.49x = 5,784,570,685.18
  5. Step 5: Solve for x
    x = 5,784,570,685.18/85,076.49
  6. Step 6: Final answer
    x = 67,992.59

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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.