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Finding the Fourth Proportional to 38,986.53, 53,801.72 and 21,524.40

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Solution

The fourth proportional to 38,986.53, 53,801.72 and 21,524.40 is: 29,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986.53 : 53,801.72 = 21,524.40 : x
  2. Step 2: Convert to fraction form
    38,986.53/53,801.72 = 21,524.40/x
  3. Step 3: Cross multiply
    38,986.53x = 53,801.72 × 21,524.40
  4. Step 4: Simplify right side
    38,986.53x = 1,158,049,365.34
  5. Step 5: Solve for x
    x = 1,158,049,365.34/38,986.53
  6. Step 6: Final answer
    x = 29,703.83

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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.