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Finding the Fourth Proportional to 106,509.24, 159,779.22 and 32,643

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Solution

The fourth proportional to 106,509.24, 159,779.22 and 32,643 is: 48,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.24 : 159,779.22 = 32,643 : x
  2. Step 2: Convert to fraction form
    106,509.24/159,779.22 = 32,643/x
  3. Step 3: Cross multiply
    106,509.24x = 159,779.22 × 32,643
  4. Step 4: Simplify right side
    106,509.24x = 5,215,673,078.46
  5. Step 5: Solve for x
    x = 5,215,673,078.46/106,509.24
  6. Step 6: Final answer
    x = 48,969.21

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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.