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Finding the Fourth Proportional to 100,896.30, 151,344.45 and 47,575.87

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Solution

The fourth proportional to 100,896.30, 151,344.45 and 47,575.87 is: 71,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.30 : 151,344.45 = 47,575.87 : x
  2. Step 2: Convert to fraction form
    100,896.30/151,344.45 = 47,575.87/x
  3. Step 3: Cross multiply
    100,896.30x = 151,344.45 × 47,575.87
  4. Step 4: Simplify right side
    100,896.30x = 7,200,343,878.42
  5. Step 5: Solve for x
    x = 7,200,343,878.42/100,896.30
  6. Step 6: Final answer
    x = 71,363.81

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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.