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Finding the Fourth Proportional to 38,164.88, 52,663.10 and 21,165

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Solution

The fourth proportional to 38,164.88, 52,663.10 and 21,165 is: 29,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164.88 : 52,663.10 = 21,165 : x
  2. Step 2: Convert to fraction form
    38,164.88/52,663.10 = 21,165/x
  3. Step 3: Cross multiply
    38,164.88x = 52,663.10 × 21,165
  4. Step 4: Simplify right side
    38,164.88x = 1,114,614,511.50
  5. Step 5: Solve for x
    x = 1,114,614,511.50/38,164.88
  6. Step 6: Final answer
    x = 29,205.24

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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.