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Finding the Fourth Proportional to 76,103.84, 114,203.15 and 36,664.94

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Solution

The fourth proportional to 76,103.84, 114,203.15 and 36,664.94 is: 55,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103.84 : 114,203.15 = 36,664.94 : x
  2. Step 2: Convert to fraction form
    76,103.84/114,203.15 = 36,664.94/x
  3. Step 3: Cross multiply
    76,103.84x = 114,203.15 × 36,664.94
  4. Step 4: Simplify right side
    76,103.84x = 4,187,251,642.56
  5. Step 5: Solve for x
    x = 4,187,251,642.56/76,103.84
  6. Step 6: Final answer
    x = 55,020.24

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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.