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Finding the Fourth Proportional to 106,225.75, 159,365.96 and 39,666.33

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Solution

The fourth proportional to 106,225.75, 159,365.96 and 39,666.33 is: 59,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,225.75 : 159,365.96 = 39,666.33 : x
  2. Step 2: Convert to fraction form
    106,225.75/159,365.96 = 39,666.33/x
  3. Step 3: Cross multiply
    106,225.75x = 159,365.96 × 39,666.33
  4. Step 4: Simplify right side
    106,225.75x = 6,321,462,760.13
  5. Step 5: Solve for x
    x = 6,321,462,760.13/106,225.75
  6. Step 6: Final answer
    x = 59,509.70

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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.