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Finding the Fourth Proportional to 100,701.50, 151,052.25 and 47,951.06

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Solution

The fourth proportional to 100,701.50, 151,052.25 and 47,951.06 is: 71,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.50 : 151,052.25 = 47,951.06 : x
  2. Step 2: Convert to fraction form
    100,701.50/151,052.25 = 47,951.06/x
  3. Step 3: Cross multiply
    100,701.50x = 151,052.25 × 47,951.06
  4. Step 4: Simplify right side
    100,701.50x = 7,243,115,502.89
  5. Step 5: Solve for x
    x = 7,243,115,502.89/100,701.50
  6. Step 6: Final answer
    x = 71,926.59

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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.