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Finding the Fourth Proportional to 100,295.82, 150,444 and 25,416

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Solution

The fourth proportional to 100,295.82, 150,444 and 25,416 is: 38,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.82 : 150,444 = 25,416 : x
  2. Step 2: Convert to fraction form
    100,295.82/150,444 = 25,416/x
  3. Step 3: Cross multiply
    100,295.82x = 150,444 × 25,416
  4. Step 4: Simplify right side
    100,295.82x = 3,823,684,704
  5. Step 5: Solve for x
    x = 3,823,684,704/100,295.82
  6. Step 6: Final answer
    x = 38,124.07

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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.