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Finding the Fourth Proportional to 33,842.50, 46,696.17 and 21,904.18

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Solution

The fourth proportional to 33,842.50, 46,696.17 and 21,904.18 is: 30,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.50 : 46,696.17 = 21,904.18 : x
  2. Step 2: Convert to fraction form
    33,842.50/46,696.17 = 21,904.18/x
  3. Step 3: Cross multiply
    33,842.50x = 46,696.17 × 21,904.18
  4. Step 4: Simplify right side
    33,842.50x = 1,022,841,312.99
  5. Step 5: Solve for x
    x = 1,022,841,312.99/33,842.50
  6. Step 6: Final answer
    x = 30,223.57

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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.