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Finding the Fourth Proportional to 38,229.72, 52,748.44 and 21,461.64

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Solution

The fourth proportional to 38,229.72, 52,748.44 and 21,461.64 is: 29,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.72 : 52,748.44 = 21,461.64 : x
  2. Step 2: Convert to fraction form
    38,229.72/52,748.44 = 21,461.64/x
  3. Step 3: Cross multiply
    38,229.72x = 52,748.44 × 21,461.64
  4. Step 4: Simplify right side
    38,229.72x = 1,132,068,029.84
  5. Step 5: Solve for x
    x = 1,132,068,029.84/38,229.72
  6. Step 6: Final answer
    x = 29,612.25

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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.