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Finding the Fourth Proportional to 38,506.86, 53,138.82 and 21,511.38

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Solution

The fourth proportional to 38,506.86, 53,138.82 and 21,511.38 is: 29,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.86 : 53,138.82 = 21,511.38 : x
  2. Step 2: Convert to fraction form
    38,506.86/53,138.82 = 21,511.38/x
  3. Step 3: Cross multiply
    38,506.86x = 53,138.82 × 21,511.38
  4. Step 4: Simplify right side
    38,506.86x = 1,143,089,349.77
  5. Step 5: Solve for x
    x = 1,143,089,349.77/38,506.86
  6. Step 6: Final answer
    x = 29,685.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.