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Finding the Fourth Proportional to 76,401.52, 114,466.60 and 65,194.48

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Solution

The fourth proportional to 76,401.52, 114,466.60 and 65,194.48 is: 97,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401.52 : 114,466.60 = 65,194.48 : x
  2. Step 2: Convert to fraction form
    76,401.52/114,466.60 = 65,194.48/x
  3. Step 3: Cross multiply
    76,401.52x = 114,466.60 × 65,194.48
  4. Step 4: Simplify right side
    76,401.52x = 7,462,590,464.37
  5. Step 5: Solve for x
    x = 7,462,590,464.37/76,401.52
  6. Step 6: Final answer
    x = 97,675.94

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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.