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Finding the Fourth Proportional to 69,196.50, 103,802.04 and 31,750.20

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Solution

The fourth proportional to 69,196.50, 103,802.04 and 31,750.20 is: 47,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,196.50 : 103,802.04 = 31,750.20 : x
  2. Step 2: Convert to fraction form
    69,196.50/103,802.04 = 31,750.20/x
  3. Step 3: Cross multiply
    69,196.50x = 103,802.04 × 31,750.20
  4. Step 4: Simplify right side
    69,196.50x = 3,295,735,530.41
  5. Step 5: Solve for x
    x = 3,295,735,530.41/69,196.50
  6. Step 6: Final answer
    x = 47,628.64

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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.