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Finding the Fourth Proportional to 65,011.44, 97,507.20 and 20,632.44

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Solution

The fourth proportional to 65,011.44, 97,507.20 and 20,632.44 is: 30,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,011.44 : 97,507.20 = 20,632.44 : x
  2. Step 2: Convert to fraction form
    65,011.44/97,507.20 = 20,632.44/x
  3. Step 3: Cross multiply
    65,011.44x = 97,507.20 × 20,632.44
  4. Step 4: Simplify right side
    65,011.44x = 2,011,811,453.57
  5. Step 5: Solve for x
    x = 2,011,811,453.57/65,011.44
  6. Step 6: Final answer
    x = 30,945.50

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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.