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Finding the Fourth Proportional to 77,775.88, 116,726.11 and 35,675.80

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Solution

The fourth proportional to 77,775.88, 116,726.11 and 35,675.80 is: 53,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.88 : 116,726.11 = 35,675.80 : x
  2. Step 2: Convert to fraction form
    77,775.88/116,726.11 = 35,675.80/x
  3. Step 3: Cross multiply
    77,775.88x = 116,726.11 × 35,675.80
  4. Step 4: Simplify right side
    77,775.88x = 4,164,297,355.14
  5. Step 5: Solve for x
    x = 4,164,297,355.14/77,775.88
  6. Step 6: Final answer
    x = 53,542.27

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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.