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Finding the Fourth Proportional to 100,578.95, 150,868.41 and 25,699.24

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Solution

The fourth proportional to 100,578.95, 150,868.41 and 25,699.24 is: 38,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.95 : 150,868.41 = 25,699.24 : x
  2. Step 2: Convert to fraction form
    100,578.95/150,868.41 = 25,699.24/x
  3. Step 3: Cross multiply
    100,578.95x = 150,868.41 × 25,699.24
  4. Step 4: Simplify right side
    100,578.95x = 3,877,203,477.01
  5. Step 5: Solve for x
    x = 3,877,203,477.01/100,578.95
  6. Step 6: Final answer
    x = 38,548.86

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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.