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Finding the Fourth Proportional to 35,633.78, 53,453.73 and 9,338.52

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Solution

The fourth proportional to 35,633.78, 53,453.73 and 9,338.52 is: 14,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,633.78 : 53,453.73 = 9,338.52 : x
  2. Step 2: Convert to fraction form
    35,633.78/53,453.73 = 9,338.52/x
  3. Step 3: Cross multiply
    35,633.78x = 53,453.73 × 9,338.52
  4. Step 4: Simplify right side
    35,633.78x = 499,178,726.68
  5. Step 5: Solve for x
    x = 499,178,726.68/35,633.78
  6. Step 6: Final answer
    x = 14,008.58

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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.