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Finding the Fourth Proportional to 77,614.45, 116,458.42 and 32,645.65

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Solution

The fourth proportional to 77,614.45, 116,458.42 and 32,645.65 is: 48,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614.45 : 116,458.42 = 32,645.65 : x
  2. Step 2: Convert to fraction form
    77,614.45/116,458.42 = 32,645.65/x
  3. Step 3: Cross multiply
    77,614.45x = 116,458.42 × 32,645.65
  4. Step 4: Simplify right side
    77,614.45x = 3,801,860,280.28
  5. Step 5: Solve for x
    x = 3,801,860,280.28/77,614.45
  6. Step 6: Final answer
    x = 48,983.93

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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.