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Finding the Fourth Proportional to 29,035.72, 40,071.90 and 17,705.85

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Solution

The fourth proportional to 29,035.72, 40,071.90 and 17,705.85 is: 24,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,035.72 : 40,071.90 = 17,705.85 : x
  2. Step 2: Convert to fraction form
    29,035.72/40,071.90 = 17,705.85/x
  3. Step 3: Cross multiply
    29,035.72x = 40,071.90 × 17,705.85
  4. Step 4: Simplify right side
    29,035.72x = 709,507,050.62
  5. Step 5: Solve for x
    x = 709,507,050.62/29,035.72
  6. Step 6: Final answer
    x = 24,435.66

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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.