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Finding the Fourth Proportional to 31,833, 43,925.58 and 17,684.04

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Solution

The fourth proportional to 31,833, 43,925.58 and 17,684.04 is: 24,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833 : 43,925.58 = 17,684.04 : x
  2. Step 2: Convert to fraction form
    31,833/43,925.58 = 17,684.04/x
  3. Step 3: Cross multiply
    31,833x = 43,925.58 × 17,684.04
  4. Step 4: Simplify right side
    31,833x = 776,781,713.74
  5. Step 5: Solve for x
    x = 776,781,713.74/31,833
  6. Step 6: Final answer
    x = 24,401.78

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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.