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Finding the Fourth Proportional to 46,441, 69,698.40 and 16,867.36

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Solution

The fourth proportional to 46,441, 69,698.40 and 16,867.36 is: 25,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441 : 69,698.40 = 16,867.36 : x
  2. Step 2: Convert to fraction form
    46,441/69,698.40 = 16,867.36/x
  3. Step 3: Cross multiply
    46,441x = 69,698.40 × 16,867.36
  4. Step 4: Simplify right side
    46,441x = 1,175,628,004.22
  5. Step 5: Solve for x
    x = 1,175,628,004.22/46,441
  6. Step 6: Final answer
    x = 25,314.44

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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.