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Finding the Fourth Proportional to 65,235.10, 97,880.50 and 27,812.79

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Solution

The fourth proportional to 65,235.10, 97,880.50 and 27,812.79 is: 41,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.10 : 97,880.50 = 27,812.79 : x
  2. Step 2: Convert to fraction form
    65,235.10/97,880.50 = 27,812.79/x
  3. Step 3: Cross multiply
    65,235.10x = 97,880.50 × 27,812.79
  4. Step 4: Simplify right side
    65,235.10x = 2,722,329,791.60
  5. Step 5: Solve for x
    x = 2,722,329,791.60/65,235.10
  6. Step 6: Final answer
    x = 41,731.06

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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.