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Finding the Fourth Proportional to 65,821.55, 98,608.32 and 32,502.60

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Solution

The fourth proportional to 65,821.55, 98,608.32 and 32,502.60 is: 48,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.55 : 98,608.32 = 32,502.60 : x
  2. Step 2: Convert to fraction form
    65,821.55/98,608.32 = 32,502.60/x
  3. Step 3: Cross multiply
    65,821.55x = 98,608.32 × 32,502.60
  4. Step 4: Simplify right side
    65,821.55x = 3,205,026,781.63
  5. Step 5: Solve for x
    x = 3,205,026,781.63/65,821.55
  6. Step 6: Final answer
    x = 48,692.67

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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.