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Finding the Fourth Proportional to 29,782.82, 44,675.76 and 7,596.39

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Solution

The fourth proportional to 29,782.82, 44,675.76 and 7,596.39 is: 11,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.82 : 44,675.76 = 7,596.39 : x
  2. Step 2: Convert to fraction form
    29,782.82/44,675.76 = 7,596.39/x
  3. Step 3: Cross multiply
    29,782.82x = 44,675.76 × 7,596.39
  4. Step 4: Simplify right side
    29,782.82x = 339,374,273.13
  5. Step 5: Solve for x
    x = 339,374,273.13/29,782.82
  6. Step 6: Final answer
    x = 11,394.97

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1.5x scale

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.