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Finding the Fourth Proportional to 100,454.85, 150,684.54 and 25,574.71

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Solution

The fourth proportional to 100,454.85, 150,684.54 and 25,574.71 is: 38,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.85 : 150,684.54 = 25,574.71 : x
  2. Step 2: Convert to fraction form
    100,454.85/150,684.54 = 25,574.71/x
  3. Step 3: Cross multiply
    100,454.85x = 150,684.54 × 25,574.71
  4. Step 4: Simplify right side
    100,454.85x = 3,853,713,411.98
  5. Step 5: Solve for x
    x = 3,853,713,411.98/100,454.85
  6. Step 6: Final answer
    x = 38,362.64

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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.