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Finding the Fourth Proportional to 65,043.78, 97,563.42 and 27,579.75

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Solution

The fourth proportional to 65,043.78, 97,563.42 and 27,579.75 is: 41,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.78 : 97,563.42 = 27,579.75 : x
  2. Step 2: Convert to fraction form
    65,043.78/97,563.42 = 27,579.75/x
  3. Step 3: Cross multiply
    65,043.78x = 97,563.42 × 27,579.75
  4. Step 4: Simplify right side
    65,043.78x = 2,690,774,732.75
  5. Step 5: Solve for x
    x = 2,690,774,732.75/65,043.78
  6. Step 6: Final answer
    x = 41,368.67

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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.