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Finding the Fourth Proportional to 65,193.96, 97,692.48 and 48,475.56

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Solution

The fourth proportional to 65,193.96, 97,692.48 and 48,475.56 is: 72,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.96 : 97,692.48 = 48,475.56 : x
  2. Step 2: Convert to fraction form
    65,193.96/97,692.48 = 48,475.56/x
  3. Step 3: Cross multiply
    65,193.96x = 97,692.48 × 48,475.56
  4. Step 4: Simplify right side
    65,193.96x = 4,735,697,675.79
  5. Step 5: Solve for x
    x = 4,735,697,675.79/65,193.96
  6. Step 6: Final answer
    x = 72,640.13

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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.