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Finding the Fourth Proportional to 67,058.96, 100,577.64 and 22,684.88

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Solution

The fourth proportional to 67,058.96, 100,577.64 and 22,684.88 is: 34,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,058.96 : 100,577.64 = 22,684.88 : x
  2. Step 2: Convert to fraction form
    67,058.96/100,577.64 = 22,684.88/x
  3. Step 3: Cross multiply
    67,058.96x = 100,577.64 × 22,684.88
  4. Step 4: Simplify right side
    67,058.96x = 2,281,591,694.08
  5. Step 5: Solve for x
    x = 2,281,591,694.08/67,058.96
  6. Step 6: Final answer
    x = 34,023.67

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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.