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Finding the Fourth Proportional to 100,701.97, 151,052.95 and 47,951.53

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Solution

The fourth proportional to 100,701.97, 151,052.95 and 47,951.53 is: 71,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.97 : 151,052.95 = 47,951.53 : x
  2. Step 2: Convert to fraction form
    100,701.97/151,052.95 = 47,951.53/x
  3. Step 3: Cross multiply
    100,701.97x = 151,052.95 × 47,951.53
  4. Step 4: Simplify right side
    100,701.97x = 7,243,219,745.82
  5. Step 5: Solve for x
    x = 7,243,219,745.82/100,701.97
  6. Step 6: Final answer
    x = 71,927.29

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Why These Related Problems?

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