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Finding the Fourth Proportional to 35,505.76, 53,259.99 and 11,815.42

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Solution

The fourth proportional to 35,505.76, 53,259.99 and 11,815.42 is: 17,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.76 : 53,259.99 = 11,815.42 : x
  2. Step 2: Convert to fraction form
    35,505.76/53,259.99 = 11,815.42/x
  3. Step 3: Cross multiply
    35,505.76x = 53,259.99 × 11,815.42
  4. Step 4: Simplify right side
    35,505.76x = 629,289,151.05
  5. Step 5: Solve for x
    x = 629,289,151.05/35,505.76
  6. Step 6: Final answer
    x = 17,723.58

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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.