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Finding the Fourth Proportional to 31,820.77, 43,911.75 and 17,672.70

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Solution

The fourth proportional to 31,820.77, 43,911.75 and 17,672.70 is: 24,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.77 : 43,911.75 = 17,672.70 : x
  2. Step 2: Convert to fraction form
    31,820.77/43,911.75 = 17,672.70/x
  3. Step 3: Cross multiply
    31,820.77x = 43,911.75 × 17,672.70
  4. Step 4: Simplify right side
    31,820.77x = 776,039,184.23
  5. Step 5: Solve for x
    x = 776,039,184.23/31,820.77
  6. Step 6: Final answer
    x = 24,387.82

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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.