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Finding the Fourth Proportional to 38,039.78, 57,068.32 and 20,509.22

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Solution

The fourth proportional to 38,039.78, 57,068.32 and 20,509.22 is: 30,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039.78 : 57,068.32 = 20,509.22 : x
  2. Step 2: Convert to fraction form
    38,039.78/57,068.32 = 20,509.22/x
  3. Step 3: Cross multiply
    38,039.78x = 57,068.32 × 20,509.22
  4. Step 4: Simplify right side
    38,039.78x = 1,170,426,729.91
  5. Step 5: Solve for x
    x = 1,170,426,729.91/38,039.78
  6. Step 6: Final answer
    x = 30,768.49

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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.