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Finding the Fourth Proportional to 100,582.28, 150,892.80 and 38,247.92

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Solution

The fourth proportional to 100,582.28, 150,892.80 and 38,247.92 is: 57,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.28 : 150,892.80 = 38,247.92 : x
  2. Step 2: Convert to fraction form
    100,582.28/150,892.80 = 38,247.92/x
  3. Step 3: Cross multiply
    100,582.28x = 150,892.80 × 38,247.92
  4. Step 4: Simplify right side
    100,582.28x = 5,771,335,742.98
  5. Step 5: Solve for x
    x = 5,771,335,742.98/100,582.28
  6. Step 6: Final answer
    x = 57,379.25

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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.