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Finding the Fourth Proportional to 65,930.98, 90,985.03 and 35,716.30

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Solution

The fourth proportional to 65,930.98, 90,985.03 and 35,716.30 is: 49,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.98 : 90,985.03 = 35,716.30 : x
  2. Step 2: Convert to fraction form
    65,930.98/90,985.03 = 35,716.30/x
  3. Step 3: Cross multiply
    65,930.98x = 90,985.03 × 35,716.30
  4. Step 4: Simplify right side
    65,930.98x = 3,249,648,626.99
  5. Step 5: Solve for x
    x = 3,249,648,626.99/65,930.98
  6. Step 6: Final answer
    x = 49,288.64

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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.