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Finding the Fourth Proportional to 65,196.60, 97,751.70 and 23,638.20

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Solution

The fourth proportional to 65,196.60, 97,751.70 and 23,638.20 is: 35,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.60 : 97,751.70 = 23,638.20 : x
  2. Step 2: Convert to fraction form
    65,196.60/97,751.70 = 23,638.20/x
  3. Step 3: Cross multiply
    65,196.60x = 97,751.70 × 23,638.20
  4. Step 4: Simplify right side
    65,196.60x = 2,310,674,234.94
  5. Step 5: Solve for x
    x = 2,310,674,234.94/65,196.60
  6. Step 6: Final answer
    x = 35,441.64

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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.