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Finding the Fourth Proportional to 29,705.50, 40,993.59 and 17,769.34

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Solution

The fourth proportional to 29,705.50, 40,993.59 and 17,769.34 is: 24,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.50 : 40,993.59 = 17,769.34 : x
  2. Step 2: Convert to fraction form
    29,705.50/40,993.59 = 17,769.34/x
  3. Step 3: Cross multiply
    29,705.50x = 40,993.59 × 17,769.34
  4. Step 4: Simplify right side
    29,705.50x = 728,429,038.53
  5. Step 5: Solve for x
    x = 728,429,038.53/29,705.50
  6. Step 6: Final answer
    x = 24,521.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.