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Finding the Fourth Proportional to 30,071.25, 41,494.86 and 16,640.64

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Solution

The fourth proportional to 30,071.25, 41,494.86 and 16,640.64 is: 22,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.25 : 41,494.86 = 16,640.64 : x
  2. Step 2: Convert to fraction form
    30,071.25/41,494.86 = 16,640.64/x
  3. Step 3: Cross multiply
    30,071.25x = 41,494.86 × 16,640.64
  4. Step 4: Simplify right side
    30,071.25x = 690,501,027.11
  5. Step 5: Solve for x
    x = 690,501,027.11/30,071.25
  6. Step 6: Final answer
    x = 22,962.17

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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.