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Finding the Fourth Proportional to 35,381.76, 53,072.64 and 9,086.52

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Solution

The fourth proportional to 35,381.76, 53,072.64 and 9,086.52 is: 13,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381.76 : 53,072.64 = 9,086.52 : x
  2. Step 2: Convert to fraction form
    35,381.76/53,072.64 = 9,086.52/x
  3. Step 3: Cross multiply
    35,381.76x = 53,072.64 × 9,086.52
  4. Step 4: Simplify right side
    35,381.76x = 482,245,604.81
  5. Step 5: Solve for x
    x = 482,245,604.81/35,381.76
  6. Step 6: Final answer
    x = 13,629.78

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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.