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Finding the Fourth Proportional to 106,361.64, 159,570.14 and 39,807

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Solution

The fourth proportional to 106,361.64, 159,570.14 and 39,807 is: 59,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,361.64 : 159,570.14 = 39,807 : x
  2. Step 2: Convert to fraction form
    106,361.64/159,570.14 = 39,807/x
  3. Step 3: Cross multiply
    106,361.64x = 159,570.14 × 39,807
  4. Step 4: Simplify right side
    106,361.64x = 6,352,008,562.98
  5. Step 5: Solve for x
    x = 6,352,008,562.98/106,361.64
  6. Step 6: Final answer
    x = 59,720.86

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Why These Related Problems?

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