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Finding the Fourth Proportional to 77,022.50, 115,533.75 and 27,774.50

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Solution

The fourth proportional to 77,022.50, 115,533.75 and 27,774.50 is: 41,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,022.50 : 115,533.75 = 27,774.50 : x
  2. Step 2: Convert to fraction form
    77,022.50/115,533.75 = 27,774.50/x
  3. Step 3: Cross multiply
    77,022.50x = 115,533.75 × 27,774.50
  4. Step 4: Simplify right side
    77,022.50x = 3,208,892,139.38
  5. Step 5: Solve for x
    x = 3,208,892,139.38/77,022.50
  6. Step 6: Final answer
    x = 41,661.75

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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.