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Finding the Fourth Proportional to 100,265.34, 150,463.63 and 37,935.84

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Solution

The fourth proportional to 100,265.34, 150,463.63 and 37,935.84 is: 56,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.34 : 150,463.63 = 37,935.84 : x
  2. Step 2: Convert to fraction form
    100,265.34/150,463.63 = 37,935.84/x
  3. Step 3: Cross multiply
    100,265.34x = 150,463.63 × 37,935.84
  4. Step 4: Simplify right side
    100,265.34x = 5,707,964,591.77
  5. Step 5: Solve for x
    x = 5,707,964,591.77/100,265.34
  6. Step 6: Final answer
    x = 56,928.59

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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.