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Finding the Fourth Proportional to 65,665.78, 98,529.45 and 32,367.70

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Solution

The fourth proportional to 65,665.78, 98,529.45 and 32,367.70 is: 48,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,665.78 : 98,529.45 = 32,367.70 : x
  2. Step 2: Convert to fraction form
    65,665.78/98,529.45 = 32,367.70/x
  3. Step 3: Cross multiply
    65,665.78x = 98,529.45 × 32,367.70
  4. Step 4: Simplify right side
    65,665.78x = 3,189,171,678.77
  5. Step 5: Solve for x
    x = 3,189,171,678.77/65,665.78
  6. Step 6: Final answer
    x = 48,566.72

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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.