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Finding the Fourth Proportional to 100,548.74, 150,842.55 and 38,214.38

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Solution

The fourth proportional to 100,548.74, 150,842.55 and 38,214.38 is: 57,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.74 : 150,842.55 = 38,214.38 : x
  2. Step 2: Convert to fraction form
    100,548.74/150,842.55 = 38,214.38/x
  3. Step 3: Cross multiply
    100,548.74x = 150,842.55 × 38,214.38
  4. Step 4: Simplify right side
    100,548.74x = 5,764,353,771.66
  5. Step 5: Solve for x
    x = 5,764,353,771.66/100,548.74
  6. Step 6: Final answer
    x = 57,328.95

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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.