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Finding the Fourth Proportional to 38,753.88, 53,378.50 and 29,784.22

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Solution

The fourth proportional to 38,753.88, 53,378.50 and 29,784.22 is: 41,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,753.88 : 53,378.50 = 29,784.22 : x
  2. Step 2: Convert to fraction form
    38,753.88/53,378.50 = 29,784.22/x
  3. Step 3: Cross multiply
    38,753.88x = 53,378.50 × 29,784.22
  4. Step 4: Simplify right side
    38,753.88x = 1,589,836,987.27
  5. Step 5: Solve for x
    x = 1,589,836,987.27/38,753.88
  6. Step 6: Final answer
    x = 41,023.94

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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.