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Finding the Fourth Proportional to 30,906.84, 42,644.28 and 20,853.93

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Solution

The fourth proportional to 30,906.84, 42,644.28 and 20,853.93 is: 28,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.84 : 42,644.28 = 20,853.93 : x
  2. Step 2: Convert to fraction form
    30,906.84/42,644.28 = 20,853.93/x
  3. Step 3: Cross multiply
    30,906.84x = 42,644.28 × 20,853.93
  4. Step 4: Simplify right side
    30,906.84x = 889,300,830.02
  5. Step 5: Solve for x
    x = 889,300,830.02/30,906.84
  6. Step 6: Final answer
    x = 28,773.59

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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.