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Finding the Fourth Proportional to 106,326.26, 159,483.63 and 32,448.50

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Solution

The fourth proportional to 106,326.26, 159,483.63 and 32,448.50 is: 48,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326.26 : 159,483.63 = 32,448.50 : x
  2. Step 2: Convert to fraction form
    106,326.26/159,483.63 = 32,448.50/x
  3. Step 3: Cross multiply
    106,326.26x = 159,483.63 × 32,448.50
  4. Step 4: Simplify right side
    106,326.26x = 5,175,004,568.06
  5. Step 5: Solve for x
    x = 5,175,004,568.06/106,326.26
  6. Step 6: Final answer
    x = 48,670.99

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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.