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Finding the Fourth Proportional to 33,415.56, 46,087.32 and 21,480

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Solution

The fourth proportional to 33,415.56, 46,087.32 and 21,480 is: 29,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.56 : 46,087.32 = 21,480 : x
  2. Step 2: Convert to fraction form
    33,415.56/46,087.32 = 21,480/x
  3. Step 3: Cross multiply
    33,415.56x = 46,087.32 × 21,480
  4. Step 4: Simplify right side
    33,415.56x = 989,955,633.60
  5. Step 5: Solve for x
    x = 989,955,633.60/33,415.56
  6. Step 6: Final answer
    x = 29,625.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.