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Finding the Fourth Proportional to 38,738.43, 53,476.74 and 29,782.80

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Solution

The fourth proportional to 38,738.43, 53,476.74 and 29,782.80 is: 41,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.43 : 53,476.74 = 29,782.80 : x
  2. Step 2: Convert to fraction form
    38,738.43/53,476.74 = 29,782.80/x
  3. Step 3: Cross multiply
    38,738.43x = 53,476.74 × 29,782.80
  4. Step 4: Simplify right side
    38,738.43x = 1,592,687,052.07
  5. Step 5: Solve for x
    x = 1,592,687,052.07/38,738.43
  6. Step 6: Final answer
    x = 41,113.88

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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.