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Finding the Fourth Proportional to 70,986.60, 106,544.97 and 35,950.86

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Solution

The fourth proportional to 70,986.60, 106,544.97 and 35,950.86 is: 53,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,986.60 : 106,544.97 = 35,950.86 : x
  2. Step 2: Convert to fraction form
    70,986.60/106,544.97 = 35,950.86/x
  3. Step 3: Cross multiply
    70,986.60x = 106,544.97 × 35,950.86
  4. Step 4: Simplify right side
    70,986.60x = 3,830,383,300.17
  5. Step 5: Solve for x
    x = 3,830,383,300.17/70,986.60
  6. Step 6: Final answer
    x = 53,959.24

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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.