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Finding the Fourth Proportional to 77,674, 116,260.39 and 40,182.44

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Solution

The fourth proportional to 77,674, 116,260.39 and 40,182.44 is: 60,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,674 : 116,260.39 = 40,182.44 : x
  2. Step 2: Convert to fraction form
    77,674/116,260.39 = 40,182.44/x
  3. Step 3: Cross multiply
    77,674x = 116,260.39 × 40,182.44
  4. Step 4: Simplify right side
    77,674x = 4,671,626,145.55
  5. Step 5: Solve for x
    x = 4,671,626,145.55/77,674
  6. Step 6: Final answer
    x = 60,144.01

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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.