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Finding the Fourth Proportional to 33,830.73, 46,695.78 and 19,686.30

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Solution

The fourth proportional to 33,830.73, 46,695.78 and 19,686.30 is: 27,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.73 : 46,695.78 = 19,686.30 : x
  2. Step 2: Convert to fraction form
    33,830.73/46,695.78 = 19,686.30/x
  3. Step 3: Cross multiply
    33,830.73x = 46,695.78 × 19,686.30
  4. Step 4: Simplify right side
    33,830.73x = 919,267,133.81
  5. Step 5: Solve for x
    x = 919,267,133.81/33,830.73
  6. Step 6: Final answer
    x = 27,172.55

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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.