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Finding the Fourth Proportional to 127,024.67, 190,522.35 and 33,537.71

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Solution

The fourth proportional to 127,024.67, 190,522.35 and 33,537.71 is: 50,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,024.67 : 190,522.35 = 33,537.71 : x
  2. Step 2: Convert to fraction form
    127,024.67/190,522.35 = 33,537.71/x
  3. Step 3: Cross multiply
    127,024.67x = 190,522.35 × 33,537.71
  4. Step 4: Simplify right side
    127,024.67x = 6,389,682,370.21
  5. Step 5: Solve for x
    x = 6,389,682,370.21/127,024.67
  6. Step 6: Final answer
    x = 50,302.69

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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.