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Finding the Fourth Proportional to 43,520, 60,057.76 and 23,648

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Solution

The fourth proportional to 43,520, 60,057.76 and 23,648 is: 32,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,520 : 60,057.76 = 23,648 : x
  2. Step 2: Convert to fraction form
    43,520/60,057.76 = 23,648/x
  3. Step 3: Cross multiply
    43,520x = 60,057.76 × 23,648
  4. Step 4: Simplify right side
    43,520x = 1,420,245,908.48
  5. Step 5: Solve for x
    x = 1,420,245,908.48/43,520
  6. Step 6: Final answer
    x = 32,634.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.