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Finding the Fourth Proportional to 29,777.54, 41,093.45 and 16,350

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Solution

The fourth proportional to 29,777.54, 41,093.45 and 16,350 is: 22,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.54 : 41,093.45 = 16,350 : x
  2. Step 2: Convert to fraction form
    29,777.54/41,093.45 = 16,350/x
  3. Step 3: Cross multiply
    29,777.54x = 41,093.45 × 16,350
  4. Step 4: Simplify right side
    29,777.54x = 671,877,825.75
  5. Step 5: Solve for x
    x = 671,877,825.75/29,777.54
  6. Step 6: Final answer
    x = 22,563.25

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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.