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Finding the Fourth Proportional to 38,416.56, 53,014.80 and 21,649.44

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Solution

The fourth proportional to 38,416.56, 53,014.80 and 21,649.44 is: 29,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.56 : 53,014.80 = 21,649.44 : x
  2. Step 2: Convert to fraction form
    38,416.56/53,014.80 = 21,649.44/x
  3. Step 3: Cross multiply
    38,416.56x = 53,014.80 × 21,649.44
  4. Step 4: Simplify right side
    38,416.56x = 1,147,740,731.71
  5. Step 5: Solve for x
    x = 1,147,740,731.71/38,416.56
  6. Step 6: Final answer
    x = 29,876.20

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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.