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Finding the Fourth Proportional to 69,284.76, 103,821.44 and 36,015.63

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Solution

The fourth proportional to 69,284.76, 103,821.44 and 36,015.63 is: 53,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,284.76 : 103,821.44 = 36,015.63 : x
  2. Step 2: Convert to fraction form
    69,284.76/103,821.44 = 36,015.63/x
  3. Step 3: Cross multiply
    69,284.76x = 103,821.44 × 36,015.63
  4. Step 4: Simplify right side
    69,284.76x = 3,739,194,389.03
  5. Step 5: Solve for x
    x = 3,739,194,389.03/69,284.76
  6. Step 6: Final answer
    x = 53,968.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.