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Finding the Fourth Proportional to 65,692.14, 90,655.50 and 35,884.14

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Solution

The fourth proportional to 65,692.14, 90,655.50 and 35,884.14 is: 49,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.14 : 90,655.50 = 35,884.14 : x
  2. Step 2: Convert to fraction form
    65,692.14/90,655.50 = 35,884.14/x
  3. Step 3: Cross multiply
    65,692.14x = 90,655.50 × 35,884.14
  4. Step 4: Simplify right side
    65,692.14x = 3,253,094,653.77
  5. Step 5: Solve for x
    x = 3,253,094,653.77/65,692.14
  6. Step 6: Final answer
    x = 49,520.30

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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.