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Finding the Fourth Proportional to 65,434.73, 97,958.31 and 40,394.25

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Solution

The fourth proportional to 65,434.73, 97,958.31 and 40,394.25 is: 60,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434.73 : 97,958.31 = 40,394.25 : x
  2. Step 2: Convert to fraction form
    65,434.73/97,958.31 = 40,394.25/x
  3. Step 3: Cross multiply
    65,434.73x = 97,958.31 × 40,394.25
  4. Step 4: Simplify right side
    65,434.73x = 3,956,952,463.72
  5. Step 5: Solve for x
    x = 3,956,952,463.72/65,434.73
  6. Step 6: Final answer
    x = 60,471.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.