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Finding the Fourth Proportional to 83,415.39, 125,142.53 and 27,258.09

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Solution

The fourth proportional to 83,415.39, 125,142.53 and 27,258.09 is: 40,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.39 : 125,142.53 = 27,258.09 : x
  2. Step 2: Convert to fraction form
    83,415.39/125,142.53 = 27,258.09/x
  3. Step 3: Cross multiply
    83,415.39x = 125,142.53 × 27,258.09
  4. Step 4: Simplify right side
    83,415.39x = 3,411,146,209.28
  5. Step 5: Solve for x
    x = 3,411,146,209.28/83,415.39
  6. Step 6: Final answer
    x = 40,893.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.