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Finding the Fourth Proportional to 57,693.50, 79,617.04 and 31,197.50

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Solution

The fourth proportional to 57,693.50, 79,617.04 and 31,197.50 is: 43,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693.50 : 79,617.04 = 31,197.50 : x
  2. Step 2: Convert to fraction form
    57,693.50/79,617.04 = 31,197.50/x
  3. Step 3: Cross multiply
    57,693.50x = 79,617.04 × 31,197.50
  4. Step 4: Simplify right side
    57,693.50x = 2,483,852,605.40
  5. Step 5: Solve for x
    x = 2,483,852,605.40/57,693.50
  6. Step 6: Final answer
    x = 43,052.56

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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.