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Finding the Fourth Proportional to 36,045.69, 49,762.40 and 24,129.38

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Solution

The fourth proportional to 36,045.69, 49,762.40 and 24,129.38 is: 33,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045.69 : 49,762.40 = 24,129.38 : x
  2. Step 2: Convert to fraction form
    36,045.69/49,762.40 = 24,129.38/x
  3. Step 3: Cross multiply
    36,045.69x = 49,762.40 × 24,129.38
  4. Step 4: Simplify right side
    36,045.69x = 1,200,735,489.85
  5. Step 5: Solve for x
    x = 1,200,735,489.85/36,045.69
  6. Step 6: Final answer
    x = 33,311.49

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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.