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Finding the Fourth Proportional to 75,656.37, 113,466.33 and 33,513.15

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Solution

The fourth proportional to 75,656.37, 113,466.33 and 33,513.15 is: 50,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656.37 : 113,466.33 = 33,513.15 : x
  2. Step 2: Convert to fraction form
    75,656.37/113,466.33 = 33,513.15/x
  3. Step 3: Cross multiply
    75,656.37x = 113,466.33 × 33,513.15
  4. Step 4: Simplify right side
    75,656.37x = 3,802,614,137.24
  5. Step 5: Solve for x
    x = 3,802,614,137.24/75,656.37
  6. Step 6: Final answer
    x = 50,261.65

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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.