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Finding the Fourth Proportional to 65,209.60, 97,771.20 and 23,651.20

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Solution

The fourth proportional to 65,209.60, 97,771.20 and 23,651.20 is: 35,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.60 : 97,771.20 = 23,651.20 : x
  2. Step 2: Convert to fraction form
    65,209.60/97,771.20 = 23,651.20/x
  3. Step 3: Cross multiply
    65,209.60x = 97,771.20 × 23,651.20
  4. Step 4: Simplify right side
    65,209.60x = 2,312,406,205.44
  5. Step 5: Solve for x
    x = 2,312,406,205.44/65,209.60
  6. Step 6: Final answer
    x = 35,461.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.