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Finding the Fourth Proportional to 38,675.84, 53,372.64 and 21,680.24

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Solution

The fourth proportional to 38,675.84, 53,372.64 and 21,680.24 is: 29,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675.84 : 53,372.64 = 21,680.24 : x
  2. Step 2: Convert to fraction form
    38,675.84/53,372.64 = 21,680.24/x
  3. Step 3: Cross multiply
    38,675.84x = 53,372.64 × 21,680.24
  4. Step 4: Simplify right side
    38,675.84x = 1,157,131,644.63
  5. Step 5: Solve for x
    x = 1,157,131,644.63/38,675.84
  6. Step 6: Final answer
    x = 29,918.72

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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.