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Finding the Fourth Proportional to 77,139.69, 115,775.28 and 30,425.37

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Solution

The fourth proportional to 77,139.69, 115,775.28 and 30,425.37 is: 45,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,139.69 : 115,775.28 = 30,425.37 : x
  2. Step 2: Convert to fraction form
    77,139.69/115,775.28 = 30,425.37/x
  3. Step 3: Cross multiply
    77,139.69x = 115,775.28 × 30,425.37
  4. Step 4: Simplify right side
    77,139.69x = 3,522,505,730.85
  5. Step 5: Solve for x
    x = 3,522,505,730.85/77,139.69
  6. Step 6: Final answer
    x = 45,663.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.