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Finding the Fourth Proportional to 106,386.96, 159,584.49 and 39,820.08

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Solution

The fourth proportional to 106,386.96, 159,584.49 and 39,820.08 is: 59,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386.96 : 159,584.49 = 39,820.08 : x
  2. Step 2: Convert to fraction form
    106,386.96/159,584.49 = 39,820.08/x
  3. Step 3: Cross multiply
    106,386.96x = 159,584.49 × 39,820.08
  4. Step 4: Simplify right side
    106,386.96x = 6,354,667,158.56
  5. Step 5: Solve for x
    x = 6,354,667,158.56/106,386.96
  6. Step 6: Final answer
    x = 59,731.64

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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.