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Finding the Fourth Proportional to 33,835.46, 46,686.51 and 21,897.14

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Solution

The fourth proportional to 33,835.46, 46,686.51 and 21,897.14 is: 30,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835.46 : 46,686.51 = 21,897.14 : x
  2. Step 2: Convert to fraction form
    33,835.46/46,686.51 = 21,897.14/x
  3. Step 3: Cross multiply
    33,835.46x = 46,686.51 × 21,897.14
  4. Step 4: Simplify right side
    33,835.46x = 1,022,300,812.15
  5. Step 5: Solve for x
    x = 1,022,300,812.15/33,835.46
  6. Step 6: Final answer
    x = 30,213.89

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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.