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Finding the Fourth Proportional to 36,030.38, 49,707.62 and 24,074.78

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Solution

The fourth proportional to 36,030.38, 49,707.62 and 24,074.78 is: 33,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030.38 : 49,707.62 = 24,074.78 : x
  2. Step 2: Convert to fraction form
    36,030.38/49,707.62 = 24,074.78/x
  3. Step 3: Cross multiply
    36,030.38x = 49,707.62 × 24,074.78
  4. Step 4: Simplify right side
    36,030.38x = 1,196,699,646.91
  5. Step 5: Solve for x
    x = 1,196,699,646.91/36,030.38
  6. Step 6: Final answer
    x = 33,213.63

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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.