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Finding the Fourth Proportional to 31,731.35, 43,783.71 and 18,113.18

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Solution

The fourth proportional to 31,731.35, 43,783.71 and 18,113.18 is: 24,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.35 : 43,783.71 = 18,113.18 : x
  2. Step 2: Convert to fraction form
    31,731.35/43,783.71 = 18,113.18/x
  3. Step 3: Cross multiply
    31,731.35x = 43,783.71 × 18,113.18
  4. Step 4: Simplify right side
    31,731.35x = 793,062,001.38
  5. Step 5: Solve for x
    x = 793,062,001.38/31,731.35
  6. Step 6: Final answer
    x = 24,993.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.