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Finding the Fourth Proportional to 83,226.38, 114,852.81 and 45,500.63

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Solution

The fourth proportional to 83,226.38, 114,852.81 and 45,500.63 is: 62,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.38 : 114,852.81 = 45,500.63 : x
  2. Step 2: Convert to fraction form
    83,226.38/114,852.81 = 45,500.63/x
  3. Step 3: Cross multiply
    83,226.38x = 114,852.81 × 45,500.63
  4. Step 4: Simplify right side
    83,226.38x = 5,225,874,638.01
  5. Step 5: Solve for x
    x = 5,225,874,638.01/83,226.38
  6. Step 6: Final answer
    x = 62,791.09

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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.