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Finding the Fourth Proportional to 39,706.34, 59,546.27 and 16,007.76

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Solution

The fourth proportional to 39,706.34, 59,546.27 and 16,007.76 is: 24,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,706.34 : 59,546.27 = 16,007.76 : x
  2. Step 2: Convert to fraction form
    39,706.34/59,546.27 = 16,007.76/x
  3. Step 3: Cross multiply
    39,706.34x = 59,546.27 × 16,007.76
  4. Step 4: Simplify right side
    39,706.34x = 953,202,439.07
  5. Step 5: Solve for x
    x = 953,202,439.07/39,706.34
  6. Step 6: Final answer
    x = 24,006.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.