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Finding the Fourth Proportional to 55,705.88, 76,874.52 and 30,555.38

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Solution

The fourth proportional to 55,705.88, 76,874.52 and 30,555.38 is: 42,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705.88 : 76,874.52 = 30,555.38 : x
  2. Step 2: Convert to fraction form
    55,705.88/76,874.52 = 30,555.38/x
  3. Step 3: Cross multiply
    55,705.88x = 76,874.52 × 30,555.38
  4. Step 4: Simplify right side
    55,705.88x = 2,348,929,786.55
  5. Step 5: Solve for x
    x = 2,348,929,786.55/55,705.88
  6. Step 6: Final answer
    x = 42,166.64

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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.