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Finding the Fourth Proportional to 71,538.96, 107,341.23 and 36,503.22

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Solution

The fourth proportional to 71,538.96, 107,341.23 and 36,503.22 is: 54,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.96 : 107,341.23 = 36,503.22 : x
  2. Step 2: Convert to fraction form
    71,538.96/107,341.23 = 36,503.22/x
  3. Step 3: Cross multiply
    71,538.96x = 107,341.23 × 36,503.22
  4. Step 4: Simplify right side
    71,538.96x = 3,918,300,533.76
  5. Step 5: Solve for x
    x = 3,918,300,533.76/71,538.96
  6. Step 6: Final answer
    x = 54,771.56

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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.