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Finding the Fourth Proportional to 70,556.54, 105,862.34 and 31,085.84

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Solution

The fourth proportional to 70,556.54, 105,862.34 and 31,085.84 is: 46,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,556.54 : 105,862.34 = 31,085.84 : x
  2. Step 2: Convert to fraction form
    70,556.54/105,862.34 = 31,085.84/x
  3. Step 3: Cross multiply
    70,556.54x = 105,862.34 × 31,085.84
  4. Step 4: Simplify right side
    70,556.54x = 3,290,820,105.64
  5. Step 5: Solve for x
    x = 3,290,820,105.64/70,556.54
  6. Step 6: Final answer
    x = 46,640.90

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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.