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Finding the Fourth Proportional to 100,535.95, 150,803.82 and 25,656.09

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Solution

The fourth proportional to 100,535.95, 150,803.82 and 25,656.09 is: 38,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,535.95 : 150,803.82 = 25,656.09 : x
  2. Step 2: Convert to fraction form
    100,535.95/150,803.82 = 25,656.09/x
  3. Step 3: Cross multiply
    100,535.95x = 150,803.82 × 25,656.09
  4. Step 4: Simplify right side
    100,535.95x = 3,869,036,249.98
  5. Step 5: Solve for x
    x = 3,869,036,249.98/100,535.95
  6. Step 6: Final answer
    x = 38,484.11

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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.