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Finding the Fourth Proportional to 65,112.56, 97,673.70 and 27,668.40

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Solution

The fourth proportional to 65,112.56, 97,673.70 and 27,668.40 is: 41,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.56 : 97,673.70 = 27,668.40 : x
  2. Step 2: Convert to fraction form
    65,112.56/97,673.70 = 27,668.40/x
  3. Step 3: Cross multiply
    65,112.56x = 97,673.70 × 27,668.40
  4. Step 4: Simplify right side
    65,112.56x = 2,702,475,001.08
  5. Step 5: Solve for x
    x = 2,702,475,001.08/65,112.56
  6. Step 6: Final answer
    x = 41,504.67

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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.