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Finding the Fourth Proportional to 76,064.54, 114,102.97 and 26,144.67

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Solution

The fourth proportional to 76,064.54, 114,102.97 and 26,144.67 is: 39,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064.54 : 114,102.97 = 26,144.67 : x
  2. Step 2: Convert to fraction form
    76,064.54/114,102.97 = 26,144.67/x
  3. Step 3: Cross multiply
    76,064.54x = 114,102.97 × 26,144.67
  4. Step 4: Simplify right side
    76,064.54x = 2,983,184,822.43
  5. Step 5: Solve for x
    x = 2,983,184,822.43/76,064.54
  6. Step 6: Final answer
    x = 39,219.12

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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.