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Finding the Fourth Proportional to 82,865.49, 124,201.80 and 47,351.70

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Solution

The fourth proportional to 82,865.49, 124,201.80 and 47,351.70 is: 70,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.49 : 124,201.80 = 47,351.70 : x
  2. Step 2: Convert to fraction form
    82,865.49/124,201.80 = 47,351.70/x
  3. Step 3: Cross multiply
    82,865.49x = 124,201.80 × 47,351.70
  4. Step 4: Simplify right side
    82,865.49x = 5,881,166,373.06
  5. Step 5: Solve for x
    x = 5,881,166,373.06/82,865.49
  6. Step 6: Final answer
    x = 70,972.44

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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.