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Finding the Fourth Proportional to 77,738.60, 116,551.78 and 30,313.50

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Solution

The fourth proportional to 77,738.60, 116,551.78 and 30,313.50 is: 45,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738.60 : 116,551.78 = 30,313.50 : x
  2. Step 2: Convert to fraction form
    77,738.60/116,551.78 = 30,313.50/x
  3. Step 3: Cross multiply
    77,738.60x = 116,551.78 × 30,313.50
  4. Step 4: Simplify right side
    77,738.60x = 3,533,092,383.03
  5. Step 5: Solve for x
    x = 3,533,092,383.03/77,738.60
  6. Step 6: Final answer
    x = 45,448.37

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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.