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Finding the Fourth Proportional to 30,707.69, 45,744.62 and 29,778.44

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Solution

The fourth proportional to 30,707.69, 45,744.62 and 29,778.44 is: 44,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.69 : 45,744.62 = 29,778.44 : x
  2. Step 2: Convert to fraction form
    30,707.69/45,744.62 = 29,778.44/x
  3. Step 3: Cross multiply
    30,707.69x = 45,744.62 × 29,778.44
  4. Step 4: Simplify right side
    30,707.69x = 1,362,203,421.99
  5. Step 5: Solve for x
    x = 1,362,203,421.99/30,707.69
  6. Step 6: Final answer
    x = 44,360.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.