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Finding the Fourth Proportional to 31,666.34, 43,705.58 and 22,616.21

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Solution

The fourth proportional to 31,666.34, 43,705.58 and 22,616.21 is: 31,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.34 : 43,705.58 = 22,616.21 : x
  2. Step 2: Convert to fraction form
    31,666.34/43,705.58 = 22,616.21/x
  3. Step 3: Cross multiply
    31,666.34x = 43,705.58 × 22,616.21
  4. Step 4: Simplify right side
    31,666.34x = 988,454,571.63
  5. Step 5: Solve for x
    x = 988,454,571.63/31,666.34
  6. Step 6: Final answer
    x = 31,214.67

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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.