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Finding the Fourth Proportional to 105,112.83, 157,575.50 and 38,537.44

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Solution

The fourth proportional to 105,112.83, 157,575.50 and 38,537.44 is: 57,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112.83 : 157,575.50 = 38,537.44 : x
  2. Step 2: Convert to fraction form
    105,112.83/157,575.50 = 38,537.44/x
  3. Step 3: Cross multiply
    105,112.83x = 157,575.50 × 38,537.44
  4. Step 4: Simplify right side
    105,112.83x = 6,072,556,376.72
  5. Step 5: Solve for x
    x = 6,072,556,376.72/105,112.83
  6. Step 6: Final answer
    x = 57,771.79

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