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Finding the Fourth Proportional to 97,580.43, 134,771.85 and 65,693.97

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Solution

The fourth proportional to 97,580.43, 134,771.85 and 65,693.97 is: 90,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,580.43 : 134,771.85 = 65,693.97 : x
  2. Step 2: Convert to fraction form
    97,580.43/134,771.85 = 65,693.97/x
  3. Step 3: Cross multiply
    97,580.43x = 134,771.85 × 65,693.97
  4. Step 4: Simplify right side
    97,580.43x = 8,853,697,870.74
  5. Step 5: Solve for x
    x = 8,853,697,870.74/97,580.43
  6. Step 6: Final answer
    x = 90,732.31

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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.