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Finding the Fourth Proportional to 101,274.64, 151,930.42 and 34,721.50

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Solution

The fourth proportional to 101,274.64, 151,930.42 and 34,721.50 is: 52,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,274.64 : 151,930.42 = 34,721.50 : x
  2. Step 2: Convert to fraction form
    101,274.64/151,930.42 = 34,721.50/x
  3. Step 3: Cross multiply
    101,274.64x = 151,930.42 × 34,721.50
  4. Step 4: Simplify right side
    101,274.64x = 5,275,252,078.03
  5. Step 5: Solve for x
    x = 5,275,252,078.03/101,274.64
  6. Step 6: Final answer
    x = 52,088.58

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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.