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Finding the Fourth Proportional to 30,678.85, 45,971.31 and 20,646.48

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Solution

The fourth proportional to 30,678.85, 45,971.31 and 20,646.48 is: 30,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.85 : 45,971.31 = 20,646.48 : x
  2. Step 2: Convert to fraction form
    30,678.85/45,971.31 = 20,646.48/x
  3. Step 3: Cross multiply
    30,678.85x = 45,971.31 × 20,646.48
  4. Step 4: Simplify right side
    30,678.85x = 949,145,732.49
  5. Step 5: Solve for x
    x = 949,145,732.49/30,678.85
  6. Step 6: Final answer
    x = 30,938.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.