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Finding the Fourth Proportional to 100,529.94, 150,800.10 and 25,650.74

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Solution

The fourth proportional to 100,529.94, 150,800.10 and 25,650.74 is: 38,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,529.94 : 150,800.10 = 25,650.74 : x
  2. Step 2: Convert to fraction form
    100,529.94/150,800.10 = 25,650.74/x
  3. Step 3: Cross multiply
    100,529.94x = 150,800.10 × 25,650.74
  4. Step 4: Simplify right side
    100,529.94x = 3,868,134,157.07
  5. Step 5: Solve for x
    x = 3,868,134,157.07/100,529.94
  6. Step 6: Final answer
    x = 38,477.43

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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.