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Finding the Fourth Proportional to 100,537.30, 150,827.65 and 33,975.96

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Solution

The fourth proportional to 100,537.30, 150,827.65 and 33,975.96 is: 50,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.30 : 150,827.65 = 33,975.96 : x
  2. Step 2: Convert to fraction form
    100,537.30/150,827.65 = 33,975.96/x
  3. Step 3: Cross multiply
    100,537.30x = 150,827.65 × 33,975.96
  4. Step 4: Simplify right side
    100,537.30x = 5,124,514,203.29
  5. Step 5: Solve for x
    x = 5,124,514,203.29/100,537.30
  6. Step 6: Final answer
    x = 50,971.27

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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.