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Finding the Fourth Proportional to 35,578.41, 53,251.77 and 26,214.69

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Solution

The fourth proportional to 35,578.41, 53,251.77 and 26,214.69 is: 39,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.41 : 53,251.77 = 26,214.69 : x
  2. Step 2: Convert to fraction form
    35,578.41/53,251.77 = 26,214.69/x
  3. Step 3: Cross multiply
    35,578.41x = 53,251.77 × 26,214.69
  4. Step 4: Simplify right side
    35,578.41x = 1,395,978,642.50
  5. Step 5: Solve for x
    x = 1,395,978,642.50/35,578.41
  6. Step 6: Final answer
    x = 39,236.68

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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.