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Finding the Fourth Proportional to 30,512.66, 42,127.04 and 20,949.45

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Solution

The fourth proportional to 30,512.66, 42,127.04 and 20,949.45 is: 28,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.66 : 42,127.04 = 20,949.45 : x
  2. Step 2: Convert to fraction form
    30,512.66/42,127.04 = 20,949.45/x
  3. Step 3: Cross multiply
    30,512.66x = 42,127.04 × 20,949.45
  4. Step 4: Simplify right side
    30,512.66x = 882,538,213.38
  5. Step 5: Solve for x
    x = 882,538,213.38/30,512.66
  6. Step 6: Final answer
    x = 28,923.68

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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.