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Finding the Fourth Proportional to 65,930.77, 90,984.89 and 35,716.09

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Solution

The fourth proportional to 65,930.77, 90,984.89 and 35,716.09 is: 49,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.77 : 90,984.89 = 35,716.09 : x
  2. Step 2: Convert to fraction form
    65,930.77/90,984.89 = 35,716.09/x
  3. Step 3: Cross multiply
    65,930.77x = 90,984.89 × 35,716.09
  4. Step 4: Simplify right side
    65,930.77x = 3,249,624,519.88
  5. Step 5: Solve for x
    x = 3,249,624,519.88/65,930.77
  6. Step 6: Final answer
    x = 49,288.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.