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Finding the Fourth Proportional to 65,665.80, 98,529.44 and 32,367.68

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Solution

The fourth proportional to 65,665.80, 98,529.44 and 32,367.68 is: 48,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,665.80 : 98,529.44 = 32,367.68 : x
  2. Step 2: Convert to fraction form
    65,665.80/98,529.44 = 32,367.68/x
  3. Step 3: Cross multiply
    65,665.80x = 98,529.44 × 32,367.68
  4. Step 4: Simplify right side
    65,665.80x = 3,189,169,384.50
  5. Step 5: Solve for x
    x = 3,189,169,384.50/65,665.80
  6. Step 6: Final answer
    x = 48,566.67

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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.