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Finding the Fourth Proportional to 33,870.42, 46,710.72 and 21,921.30

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Solution

The fourth proportional to 33,870.42, 46,710.72 and 21,921.30 is: 30,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870.42 : 46,710.72 = 21,921.30 : x
  2. Step 2: Convert to fraction form
    33,870.42/46,710.72 = 21,921.30/x
  3. Step 3: Cross multiply
    33,870.42x = 46,710.72 × 21,921.30
  4. Step 4: Simplify right side
    33,870.42x = 1,023,959,706.34
  5. Step 5: Solve for x
    x = 1,023,959,706.34/33,870.42
  6. Step 6: Final answer
    x = 30,231.68

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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.