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Finding the Fourth Proportional to 36,830, 55,239.96 and 10,537.04

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Solution

The fourth proportional to 36,830, 55,239.96 and 10,537.04 is: 15,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830 : 55,239.96 = 10,537.04 : x
  2. Step 2: Convert to fraction form
    36,830/55,239.96 = 10,537.04/x
  3. Step 3: Cross multiply
    36,830x = 55,239.96 × 10,537.04
  4. Step 4: Simplify right side
    36,830x = 582,065,668.12
  5. Step 5: Solve for x
    x = 582,065,668.12/36,830
  6. Step 6: Final answer
    x = 15,804.12

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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.