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Finding the Fourth Proportional to 29,977.50, 41,369.01 and 16,548.77

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Solution

The fourth proportional to 29,977.50, 41,369.01 and 16,548.77 is: 22,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.50 : 41,369.01 = 16,548.77 : x
  2. Step 2: Convert to fraction form
    29,977.50/41,369.01 = 16,548.77/x
  3. Step 3: Cross multiply
    29,977.50x = 41,369.01 × 16,548.77
  4. Step 4: Simplify right side
    29,977.50x = 684,606,117.85
  5. Step 5: Solve for x
    x = 684,606,117.85/29,977.50
  6. Step 6: Final answer
    x = 22,837.33

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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.