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Finding the Fourth Proportional to 83,380.85, 115,064.47 and 47,571.45

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Solution

The fourth proportional to 83,380.85, 115,064.47 and 47,571.45 is: 65,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,380.85 : 115,064.47 = 47,571.45 : x
  2. Step 2: Convert to fraction form
    83,380.85/115,064.47 = 47,571.45/x
  3. Step 3: Cross multiply
    83,380.85x = 115,064.47 × 47,571.45
  4. Step 4: Simplify right side
    83,380.85x = 5,473,783,681.38
  5. Step 5: Solve for x
    x = 5,473,783,681.38/83,380.85
  6. Step 6: Final answer
    x = 65,647.97

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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.