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Finding the Fourth Proportional to 77,400, 116,105.49 and 30,652.88

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Solution

The fourth proportional to 77,400, 116,105.49 and 30,652.88 is: 45,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400 : 116,105.49 = 30,652.88 : x
  2. Step 2: Convert to fraction form
    77,400/116,105.49 = 30,652.88/x
  3. Step 3: Cross multiply
    77,400x = 116,105.49 × 30,652.88
  4. Step 4: Simplify right side
    77,400x = 3,558,967,071.78
  5. Step 5: Solve for x
    x = 3,558,967,071.78/77,400
  6. Step 6: Final answer
    x = 45,981.49

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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.