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Finding the Fourth Proportional to 77,674.25, 116,260.76 and 40,182.71

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Solution

The fourth proportional to 77,674.25, 116,260.76 and 40,182.71 is: 60,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,674.25 : 116,260.76 = 40,182.71 : x
  2. Step 2: Convert to fraction form
    77,674.25/116,260.76 = 40,182.71/x
  3. Step 3: Cross multiply
    77,674.25x = 116,260.76 × 40,182.71
  4. Step 4: Simplify right side
    77,674.25x = 4,671,671,621.24
  5. Step 5: Solve for x
    x = 4,671,671,621.24/77,674.25
  6. Step 6: Final answer
    x = 60,144.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.