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Finding the Fourth Proportional to 35,207.40, 52,713.90 and 27,431.40

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Solution

The fourth proportional to 35,207.40, 52,713.90 and 27,431.40 is: 41,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.40 : 52,713.90 = 27,431.40 : x
  2. Step 2: Convert to fraction form
    35,207.40/52,713.90 = 27,431.40/x
  3. Step 3: Cross multiply
    35,207.40x = 52,713.90 × 27,431.40
  4. Step 4: Simplify right side
    35,207.40x = 1,446,016,076.46
  5. Step 5: Solve for x
    x = 1,446,016,076.46/35,207.40
  6. Step 6: Final answer
    x = 41,071.37

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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.