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Finding the Fourth Proportional to 82,991.75, 114,492.02 and 51,179.09

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Solution

The fourth proportional to 82,991.75, 114,492.02 and 51,179.09 is: 70,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.75 : 114,492.02 = 51,179.09 : x
  2. Step 2: Convert to fraction form
    82,991.75/114,492.02 = 51,179.09/x
  3. Step 3: Cross multiply
    82,991.75x = 114,492.02 × 51,179.09
  4. Step 4: Simplify right side
    82,991.75x = 5,859,596,567.51
  5. Step 5: Solve for x
    x = 5,859,596,567.51/82,991.75
  6. Step 6: Final answer
    x = 70,604.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.