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Finding the Fourth Proportional to 35,505.50, 53,230.16 and 17,727.02

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Solution

The fourth proportional to 35,505.50, 53,230.16 and 17,727.02 is: 26,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.50 : 53,230.16 = 17,727.02 : x
  2. Step 2: Convert to fraction form
    35,505.50/53,230.16 = 17,727.02/x
  3. Step 3: Cross multiply
    35,505.50x = 53,230.16 × 17,727.02
  4. Step 4: Simplify right side
    35,505.50x = 943,612,110.92
  5. Step 5: Solve for x
    x = 943,612,110.92/35,505.50
  6. Step 6: Final answer
    x = 26,576.51

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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.