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Finding the Fourth Proportional to 30,705.69, 45,741.65 and 29,776.44

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Solution

The fourth proportional to 30,705.69, 45,741.65 and 29,776.44 is: 44,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.69 : 45,741.65 = 29,776.44 : x
  2. Step 2: Convert to fraction form
    30,705.69/45,741.65 = 29,776.44/x
  3. Step 3: Cross multiply
    30,705.69x = 45,741.65 × 29,776.44
  4. Step 4: Simplify right side
    30,705.69x = 1,362,023,519.37
  5. Step 5: Solve for x
    x = 1,362,023,519.37/30,705.69
  6. Step 6: Final answer
    x = 44,357.36

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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.