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Finding the Fourth Proportional to 31,930.94, 44,066.07 and 17,783.79

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Solution

The fourth proportional to 31,930.94, 44,066.07 and 17,783.79 is: 24,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.94 : 44,066.07 = 17,783.79 : x
  2. Step 2: Convert to fraction form
    31,930.94/44,066.07 = 17,783.79/x
  3. Step 3: Cross multiply
    31,930.94x = 44,066.07 × 17,783.79
  4. Step 4: Simplify right side
    31,930.94x = 783,661,569.76
  5. Step 5: Solve for x
    x = 783,661,569.76/31,930.94
  6. Step 6: Final answer
    x = 24,542.39

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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.