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Finding the Fourth Proportional to 100,583.75, 150,875.64 and 26,711.75

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Solution

The fourth proportional to 100,583.75, 150,875.64 and 26,711.75 is: 40,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.75 : 150,875.64 = 26,711.75 : x
  2. Step 2: Convert to fraction form
    100,583.75/150,875.64 = 26,711.75/x
  3. Step 3: Cross multiply
    100,583.75x = 150,875.64 × 26,711.75
  4. Step 4: Simplify right side
    100,583.75x = 4,030,152,376.77
  5. Step 5: Solve for x
    x = 4,030,152,376.77/100,583.75
  6. Step 6: Final answer
    x = 40,067.63

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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.