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Finding the Fourth Proportional to 77,662.14, 116,527.77 and 40,717.50

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Solution

The fourth proportional to 77,662.14, 116,527.77 and 40,717.50 is: 61,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.14 : 116,527.77 = 40,717.50 : x
  2. Step 2: Convert to fraction form
    77,662.14/116,527.77 = 40,717.50/x
  3. Step 3: Cross multiply
    77,662.14x = 116,527.77 × 40,717.50
  4. Step 4: Simplify right side
    77,662.14x = 4,744,719,474.98
  5. Step 5: Solve for x
    x = 4,744,719,474.98/77,662.14
  6. Step 6: Final answer
    x = 61,094.37

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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.