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Finding the Fourth Proportional to 35,966.86, 49,634.34 and 20,050.98

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Solution

The fourth proportional to 35,966.86, 49,634.34 and 20,050.98 is: 27,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,966.86 : 49,634.34 = 20,050.98 : x
  2. Step 2: Convert to fraction form
    35,966.86/49,634.34 = 20,050.98/x
  3. Step 3: Cross multiply
    35,966.86x = 49,634.34 × 20,050.98
  4. Step 4: Simplify right side
    35,966.86x = 995,217,158.65
  5. Step 5: Solve for x
    x = 995,217,158.65/35,966.86
  6. Step 6: Final answer
    x = 27,670.39

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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.