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Finding the Fourth Proportional to 44,682.60, 67,000.98 and 23,634

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Solution

The fourth proportional to 44,682.60, 67,000.98 and 23,634 is: 35,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,682.60 : 67,000.98 = 23,634 : x
  2. Step 2: Convert to fraction form
    44,682.60/67,000.98 = 23,634/x
  3. Step 3: Cross multiply
    44,682.60x = 67,000.98 × 23,634
  4. Step 4: Simplify right side
    44,682.60x = 1,583,501,161.32
  5. Step 5: Solve for x
    x = 1,583,501,161.32/44,682.60
  6. Step 6: Final answer
    x = 35,438.88

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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.