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Finding the Fourth Proportional to 69,412.64, 104,118.03 and 16,822.58

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Solution

The fourth proportional to 69,412.64, 104,118.03 and 16,822.58 is: 25,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412.64 : 104,118.03 = 16,822.58 : x
  2. Step 2: Convert to fraction form
    69,412.64/104,118.03 = 16,822.58/x
  3. Step 3: Cross multiply
    69,412.64x = 104,118.03 × 16,822.58
  4. Step 4: Simplify right side
    69,412.64x = 1,751,533,368.53
  5. Step 5: Solve for x
    x = 1,751,533,368.53/69,412.64
  6. Step 6: Final answer
    x = 25,233.64

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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.