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Finding the Fourth Proportional to 105,889.50, 158,847.48 and 32,017.50

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Solution

The fourth proportional to 105,889.50, 158,847.48 and 32,017.50 is: 48,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.50 : 158,847.48 = 32,017.50 : x
  2. Step 2: Convert to fraction form
    105,889.50/158,847.48 = 32,017.50/x
  3. Step 3: Cross multiply
    105,889.50x = 158,847.48 × 32,017.50
  4. Step 4: Simplify right side
    105,889.50x = 5,085,899,190.90
  5. Step 5: Solve for x
    x = 5,085,899,190.90/105,889.50
  6. Step 6: Final answer
    x = 48,030.25

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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.