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Finding the Fourth Proportional to 55,705.38, 76,873.42 and 30,554.34

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Solution

The fourth proportional to 55,705.38, 76,873.42 and 30,554.34 is: 42,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705.38 : 76,873.42 = 30,554.34 : x
  2. Step 2: Convert to fraction form
    55,705.38/76,873.42 = 30,554.34/x
  3. Step 3: Cross multiply
    55,705.38x = 76,873.42 × 30,554.34
  4. Step 4: Simplify right side
    55,705.38x = 2,348,816,611.64
  5. Step 5: Solve for x
    x = 2,348,816,611.64/55,705.38
  6. Step 6: Final answer
    x = 42,164.99

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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.