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Finding the Fourth Proportional to 65,214.63, 89,975.07 and 36,529.92

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Solution

The fourth proportional to 65,214.63, 89,975.07 and 36,529.92 is: 50,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.63 : 89,975.07 = 36,529.92 : x
  2. Step 2: Convert to fraction form
    65,214.63/89,975.07 = 36,529.92/x
  3. Step 3: Cross multiply
    65,214.63x = 89,975.07 × 36,529.92
  4. Step 4: Simplify right side
    65,214.63x = 3,286,782,109.09
  5. Step 5: Solve for x
    x = 3,286,782,109.09/65,214.63
  6. Step 6: Final answer
    x = 50,399.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.