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Finding the Fourth Proportional to 57,993, 80,030.66 and 31,497

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Solution

The fourth proportional to 57,993, 80,030.66 and 31,497 is: 43,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993 : 80,030.66 = 31,497 : x
  2. Step 2: Convert to fraction form
    57,993/80,030.66 = 31,497/x
  3. Step 3: Cross multiply
    57,993x = 80,030.66 × 31,497
  4. Step 4: Simplify right side
    57,993x = 2,520,725,698.02
  5. Step 5: Solve for x
    x = 2,520,725,698.02/57,993
  6. Step 6: Final answer
    x = 43,466.03

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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.