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Finding the Fourth Proportional to 35,976.49, 53,959.87 and 9,682.81

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Solution

The fourth proportional to 35,976.49, 53,959.87 and 9,682.81 is: 14,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976.49 : 53,959.87 = 9,682.81 : x
  2. Step 2: Convert to fraction form
    35,976.49/53,959.87 = 9,682.81/x
  3. Step 3: Cross multiply
    35,976.49x = 53,959.87 × 9,682.81
  4. Step 4: Simplify right side
    35,976.49x = 522,483,046.04
  5. Step 5: Solve for x
    x = 522,483,046.04/35,976.49
  6. Step 6: Final answer
    x = 14,522.90

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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.