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Finding the Fourth Proportional to 100,578.36, 150,637.86 and 48,024.84

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Solution

The fourth proportional to 100,578.36, 150,637.86 and 48,024.84 is: 71,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.36 : 150,637.86 = 48,024.84 : x
  2. Step 2: Convert to fraction form
    100,578.36/150,637.86 = 48,024.84/x
  3. Step 3: Cross multiply
    100,578.36x = 150,637.86 × 48,024.84
  4. Step 4: Simplify right side
    100,578.36x = 7,234,359,124.44
  5. Step 5: Solve for x
    x = 7,234,359,124.44/100,578.36
  6. Step 6: Final answer
    x = 71,927.59

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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.