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Finding the Fourth Proportional to 77,585.14, 116,412.27 and 40,640.50

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Solution

The fourth proportional to 77,585.14, 116,412.27 and 40,640.50 is: 60,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,585.14 : 116,412.27 = 40,640.50 : x
  2. Step 2: Convert to fraction form
    77,585.14/116,412.27 = 40,640.50/x
  3. Step 3: Cross multiply
    77,585.14x = 116,412.27 × 40,640.50
  4. Step 4: Simplify right side
    77,585.14x = 4,731,052,858.94
  5. Step 5: Solve for x
    x = 4,731,052,858.94/77,585.14
  6. Step 6: Final answer
    x = 60,978.85

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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.