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Finding the Fourth Proportional to 31,471.86, 43,434.86 and 17,676.45

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Solution

The fourth proportional to 31,471.86, 43,434.86 and 17,676.45 is: 24,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.86 : 43,434.86 = 17,676.45 : x
  2. Step 2: Convert to fraction form
    31,471.86/43,434.86 = 17,676.45/x
  3. Step 3: Cross multiply
    31,471.86x = 43,434.86 × 17,676.45
  4. Step 4: Simplify right side
    31,471.86x = 767,774,086.86
  5. Step 5: Solve for x
    x = 767,774,086.86/31,471.86
  6. Step 6: Final answer
    x = 24,395.58

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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.