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Finding the Fourth Proportional to 31,175.84, 43,025.64 and 17,750.36

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Solution

The fourth proportional to 31,175.84, 43,025.64 and 17,750.36 is: 24,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.84 : 43,025.64 = 17,750.36 : x
  2. Step 2: Convert to fraction form
    31,175.84/43,025.64 = 17,750.36/x
  3. Step 3: Cross multiply
    31,175.84x = 43,025.64 × 17,750.36
  4. Step 4: Simplify right side
    31,175.84x = 763,720,599.23
  5. Step 5: Solve for x
    x = 763,720,599.23/31,175.84
  6. Step 6: Final answer
    x = 24,497.19

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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.