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Finding the Fourth Proportional to 113,781.50, 170,672.26 and 30,675.50

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Solution

The fourth proportional to 113,781.50, 170,672.26 and 30,675.50 is: 46,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,781.50 : 170,672.26 = 30,675.50 : x
  2. Step 2: Convert to fraction form
    113,781.50/170,672.26 = 30,675.50/x
  3. Step 3: Cross multiply
    113,781.50x = 170,672.26 × 30,675.50
  4. Step 4: Simplify right side
    113,781.50x = 5,235,456,911.63
  5. Step 5: Solve for x
    x = 5,235,456,911.63/113,781.50
  6. Step 6: Final answer
    x = 46,013.25

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Why These Related Problems?

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