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Finding the Fourth Proportional to 73,106, 109,679.16 and 23,858

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Solution

The fourth proportional to 73,106, 109,679.16 and 23,858 is: 35,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106 : 109,679.16 = 23,858 : x
  2. Step 2: Convert to fraction form
    73,106/109,679.16 = 23,858/x
  3. Step 3: Cross multiply
    73,106x = 109,679.16 × 23,858
  4. Step 4: Simplify right side
    73,106x = 2,616,725,399.28
  5. Step 5: Solve for x
    x = 2,616,725,399.28/73,106
  6. Step 6: Final answer
    x = 35,793.58

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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.