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Finding the Fourth Proportional to 65,187.32, 97,706.42 and 27,692.42

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Solution

The fourth proportional to 65,187.32, 97,706.42 and 27,692.42 is: 41,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187.32 : 97,706.42 = 27,692.42 : x
  2. Step 2: Convert to fraction form
    65,187.32/97,706.42 = 27,692.42/x
  3. Step 3: Cross multiply
    65,187.32x = 97,706.42 × 27,692.42
  4. Step 4: Simplify right side
    65,187.32x = 2,705,727,219.34
  5. Step 5: Solve for x
    x = 2,705,727,219.34/65,187.32
  6. Step 6: Final answer
    x = 41,506.96

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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.