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Finding the Fourth Proportional to 31,830.68, 43,929.07 and 17,684.44

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Solution

The fourth proportional to 31,830.68, 43,929.07 and 17,684.44 is: 24,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.68 : 43,929.07 = 17,684.44 : x
  2. Step 2: Convert to fraction form
    31,830.68/43,929.07 = 17,684.44/x
  3. Step 3: Cross multiply
    31,830.68x = 43,929.07 × 17,684.44
  4. Step 4: Simplify right side
    31,830.68x = 776,860,848.64
  5. Step 5: Solve for x
    x = 776,860,848.64/31,830.68
  6. Step 6: Final answer
    x = 24,406.04

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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.