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Finding the Fourth Proportional to 31,755.56, 47,630.78 and 13,030.28

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Solution

The fourth proportional to 31,755.56, 47,630.78 and 13,030.28 is: 19,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.56 : 47,630.78 = 13,030.28 : x
  2. Step 2: Convert to fraction form
    31,755.56/47,630.78 = 13,030.28/x
  3. Step 3: Cross multiply
    31,755.56x = 47,630.78 × 13,030.28
  4. Step 4: Simplify right side
    31,755.56x = 620,642,400.02
  5. Step 5: Solve for x
    x = 620,642,400.02/31,755.56
  6. Step 6: Final answer
    x = 19,544.37

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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.