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Finding the Fourth Proportional to 106,065.72, 159,124.50 and 35,945.64

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Solution

The fourth proportional to 106,065.72, 159,124.50 and 35,945.64 is: 53,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065.72 : 159,124.50 = 35,945.64 : x
  2. Step 2: Convert to fraction form
    106,065.72/159,124.50 = 35,945.64/x
  3. Step 3: Cross multiply
    106,065.72x = 159,124.50 × 35,945.64
  4. Step 4: Simplify right side
    106,065.72x = 5,719,831,992.18
  5. Step 5: Solve for x
    x = 5,719,831,992.18/106,065.72
  6. Step 6: Final answer
    x = 53,927.24

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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.