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Finding the Fourth Proportional to 114,042.30, 171,060.75 and 30,936.30

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Solution

The fourth proportional to 114,042.30, 171,060.75 and 30,936.30 is: 46,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.30 : 171,060.75 = 30,936.30 : x
  2. Step 2: Convert to fraction form
    114,042.30/171,060.75 = 30,936.30/x
  3. Step 3: Cross multiply
    114,042.30x = 171,060.75 × 30,936.30
  4. Step 4: Simplify right side
    114,042.30x = 5,291,986,680.23
  5. Step 5: Solve for x
    x = 5,291,986,680.23/114,042.30
  6. Step 6: Final answer
    x = 46,403.72

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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.