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Finding the Fourth Proportional to 97,692.28, 134,824.30 and 61,399.62

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Solution

The fourth proportional to 97,692.28, 134,824.30 and 61,399.62 is: 84,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692.28 : 134,824.30 = 61,399.62 : x
  2. Step 2: Convert to fraction form
    97,692.28/134,824.30 = 61,399.62/x
  3. Step 3: Cross multiply
    97,692.28x = 134,824.30 × 61,399.62
  4. Step 4: Simplify right side
    97,692.28x = 8,278,160,633.27
  5. Step 5: Solve for x
    x = 8,278,160,633.27/97,692.28
  6. Step 6: Final answer
    x = 84,737.10

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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.