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Finding the Fourth Proportional to 30,846.90, 42,575.75 and 20,072.79

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Solution

The fourth proportional to 30,846.90, 42,575.75 and 20,072.79 is: 27,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.90 : 42,575.75 = 20,072.79 : x
  2. Step 2: Convert to fraction form
    30,846.90/42,575.75 = 20,072.79/x
  3. Step 3: Cross multiply
    30,846.90x = 42,575.75 × 20,072.79
  4. Step 4: Simplify right side
    30,846.90x = 854,614,088.84
  5. Step 5: Solve for x
    x = 854,614,088.84/30,846.90
  6. Step 6: Final answer
    x = 27,705.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.