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Finding the Fourth Proportional to 77,672.00, 116,257.40 and 40,180.44

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Solution

The fourth proportional to 77,672.00, 116,257.40 and 40,180.44 is: 60,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.00 : 116,257.40 = 40,180.44 : x
  2. Step 2: Convert to fraction form
    77,672.00/116,257.40 = 40,180.44/x
  3. Step 3: Cross multiply
    77,672.00x = 116,257.40 × 40,180.44
  4. Step 4: Simplify right side
    77,672.00x = 4,671,273,284.35
  5. Step 5: Solve for x
    x = 4,671,273,284.35/77,672.00
  6. Step 6: Final answer
    x = 60,141.02

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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.