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Finding the Fourth Proportional to 38,450.78, 53,065.74 and 23,339.97

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Solution

The fourth proportional to 38,450.78, 53,065.74 and 23,339.97 is: 32,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.78 : 53,065.74 = 23,339.97 : x
  2. Step 2: Convert to fraction form
    38,450.78/53,065.74 = 23,339.97/x
  3. Step 3: Cross multiply
    38,450.78x = 53,065.74 × 23,339.97
  4. Step 4: Simplify right side
    38,450.78x = 1,238,552,779.63
  5. Step 5: Solve for x
    x = 1,238,552,779.63/38,450.78
  6. Step 6: Final answer
    x = 32,211.39

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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.