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Finding the Fourth Proportional to 106,259.50, 159,389.31 and 32,387.50

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Solution

The fourth proportional to 106,259.50, 159,389.31 and 32,387.50 is: 48,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,259.50 : 159,389.31 = 32,387.50 : x
  2. Step 2: Convert to fraction form
    106,259.50/159,389.31 = 32,387.50/x
  3. Step 3: Cross multiply
    106,259.50x = 159,389.31 × 32,387.50
  4. Step 4: Simplify right side
    106,259.50x = 5,162,221,277.63
  5. Step 5: Solve for x
    x = 5,162,221,277.63/106,259.50
  6. Step 6: Final answer
    x = 48,581.27

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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.