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Finding the Fourth Proportional to 47,913.54, 66,114.54 and 27,770.28

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Solution

The fourth proportional to 47,913.54, 66,114.54 and 27,770.28 is: 38,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,913.54 : 66,114.54 = 27,770.28 : x
  2. Step 2: Convert to fraction form
    47,913.54/66,114.54 = 27,770.28/x
  3. Step 3: Cross multiply
    47,913.54x = 66,114.54 × 27,770.28
  4. Step 4: Simplify right side
    47,913.54x = 1,836,019,287.87
  5. Step 5: Solve for x
    x = 1,836,019,287.87/47,913.54
  6. Step 6: Final answer
    x = 38,319.42

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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.