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Finding the Fourth Proportional to 70,957.22, 106,446.06 and 23,556.20

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Solution

The fourth proportional to 70,957.22, 106,446.06 and 23,556.20 is: 35,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.22 : 106,446.06 = 23,556.20 : x
  2. Step 2: Convert to fraction form
    70,957.22/106,446.06 = 23,556.20/x
  3. Step 3: Cross multiply
    70,957.22x = 106,446.06 × 23,556.20
  4. Step 4: Simplify right side
    70,957.22x = 2,507,464,678.57
  5. Step 5: Solve for x
    x = 2,507,464,678.57/70,957.22
  6. Step 6: Final answer
    x = 35,337.70

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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.