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Finding the Fourth Proportional to 76,578.98, 114,880.78 and 26,673.46

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Solution

The fourth proportional to 76,578.98, 114,880.78 and 26,673.46 is: 40,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.98 : 114,880.78 = 26,673.46 : x
  2. Step 2: Convert to fraction form
    76,578.98/114,880.78 = 26,673.46/x
  3. Step 3: Cross multiply
    76,578.98x = 114,880.78 × 26,673.46
  4. Step 4: Simplify right side
    76,578.98x = 3,064,267,890.10
  5. Step 5: Solve for x
    x = 3,064,267,890.10/76,578.98
  6. Step 6: Final answer
    x = 40,014.48

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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.