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Finding the Fourth Proportional to 82,849.80, 124,274.70 and 36,193.80

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Solution

The fourth proportional to 82,849.80, 124,274.70 and 36,193.80 is: 54,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,849.80 : 124,274.70 = 36,193.80 : x
  2. Step 2: Convert to fraction form
    82,849.80/124,274.70 = 36,193.80/x
  3. Step 3: Cross multiply
    82,849.80x = 124,274.70 × 36,193.80
  4. Step 4: Simplify right side
    82,849.80x = 4,497,973,636.86
  5. Step 5: Solve for x
    x = 4,497,973,636.86/82,849.80
  6. Step 6: Final answer
    x = 54,290.70

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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.