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Finding the Fourth Proportional to 31,635.75, 43,658.06 and 20,477.19

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Solution

The fourth proportional to 31,635.75, 43,658.06 and 20,477.19 is: 28,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.75 : 43,658.06 = 20,477.19 : x
  2. Step 2: Convert to fraction form
    31,635.75/43,658.06 = 20,477.19/x
  3. Step 3: Cross multiply
    31,635.75x = 43,658.06 × 20,477.19
  4. Step 4: Simplify right side
    31,635.75x = 893,994,287.27
  5. Step 5: Solve for x
    x = 893,994,287.27/31,635.75
  6. Step 6: Final answer
    x = 28,258.99

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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.