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Finding the Fourth Proportional to 65,310.96, 97,972.50 and 23,186.90

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Solution

The fourth proportional to 65,310.96, 97,972.50 and 23,186.90 is: 34,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310.96 : 97,972.50 = 23,186.90 : x
  2. Step 2: Convert to fraction form
    65,310.96/97,972.50 = 23,186.90/x
  3. Step 3: Cross multiply
    65,310.96x = 97,972.50 × 23,186.90
  4. Step 4: Simplify right side
    65,310.96x = 2,271,678,560.25
  5. Step 5: Solve for x
    x = 2,271,678,560.25/65,310.96
  6. Step 6: Final answer
    x = 34,782.50

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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.