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Finding the Fourth Proportional to 70,783.85, 106,194.15 and 26,410.94

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Solution

The fourth proportional to 70,783.85, 106,194.15 and 26,410.94 is: 39,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.85 : 106,194.15 = 26,410.94 : x
  2. Step 2: Convert to fraction form
    70,783.85/106,194.15 = 26,410.94/x
  3. Step 3: Cross multiply
    70,783.85x = 106,194.15 × 26,410.94
  4. Step 4: Simplify right side
    70,783.85x = 2,804,687,324.00
  5. Step 5: Solve for x
    x = 2,804,687,324.00/70,783.85
  6. Step 6: Final answer
    x = 39,623.27

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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.