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Finding the Fourth Proportional to 38,504, 57,779.04 and 16,616

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Solution

The fourth proportional to 38,504, 57,779.04 and 16,616 is: 24,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 57,779.04 = 16,616 : x
  2. Step 2: Convert to fraction form
    38,504/57,779.04 = 16,616/x
  3. Step 3: Cross multiply
    38,504x = 57,779.04 × 16,616
  4. Step 4: Simplify right side
    38,504x = 960,056,528.64
  5. Step 5: Solve for x
    x = 960,056,528.64/38,504
  6. Step 6: Final answer
    x = 24,933.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.