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Finding the Fourth Proportional to 100,385.94, 150,581.95 and 25,506.10

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Solution

The fourth proportional to 100,385.94, 150,581.95 and 25,506.10 is: 38,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.94 : 150,581.95 = 25,506.10 : x
  2. Step 2: Convert to fraction form
    100,385.94/150,581.95 = 25,506.10/x
  3. Step 3: Cross multiply
    100,385.94x = 150,581.95 × 25,506.10
  4. Step 4: Simplify right side
    100,385.94x = 3,840,757,834.67
  5. Step 5: Solve for x
    x = 3,840,757,834.67/100,385.94
  6. Step 6: Final answer
    x = 38,259.92

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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.