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Finding the Fourth Proportional to 102,245.44, 153,387.52 and 39,912

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Solution

The fourth proportional to 102,245.44, 153,387.52 and 39,912 is: 59,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.44 : 153,387.52 = 39,912 : x
  2. Step 2: Convert to fraction form
    102,245.44/153,387.52 = 39,912/x
  3. Step 3: Cross multiply
    102,245.44x = 153,387.52 × 39,912
  4. Step 4: Simplify right side
    102,245.44x = 6,122,002,698.24
  5. Step 5: Solve for x
    x = 6,122,002,698.24/102,245.44
  6. Step 6: Final answer
    x = 59,875.56

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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.