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Finding the Fourth Proportional to 29,782.85, 41,071.47 and 20,113.58

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Solution

The fourth proportional to 29,782.85, 41,071.47 and 20,113.58 is: 27,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.85 : 41,071.47 = 20,113.58 : x
  2. Step 2: Convert to fraction form
    29,782.85/41,071.47 = 20,113.58/x
  3. Step 3: Cross multiply
    29,782.85x = 41,071.47 × 20,113.58
  4. Step 4: Simplify right side
    29,782.85x = 826,094,297.56
  5. Step 5: Solve for x
    x = 826,094,297.56/29,782.85
  6. Step 6: Final answer
    x = 27,737.25

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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.