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Finding the Fourth Proportional to 30,505.79, 42,076.29 and 27,996.01

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Solution

The fourth proportional to 30,505.79, 42,076.29 and 27,996.01 is: 38,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.79 : 42,076.29 = 27,996.01 : x
  2. Step 2: Convert to fraction form
    30,505.79/42,076.29 = 27,996.01/x
  3. Step 3: Cross multiply
    30,505.79x = 42,076.29 × 27,996.01
  4. Step 4: Simplify right side
    30,505.79x = 1,177,968,235.40
  5. Step 5: Solve for x
    x = 1,177,968,235.40/30,505.79
  6. Step 6: Final answer
    x = 38,614.58

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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.