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Finding the Fourth Proportional to 70,580.16, 97,394.82 and 38,747.96

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Solution

The fourth proportional to 70,580.16, 97,394.82 and 38,747.96 is: 53,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580.16 : 97,394.82 = 38,747.96 : x
  2. Step 2: Convert to fraction form
    70,580.16/97,394.82 = 38,747.96/x
  3. Step 3: Cross multiply
    70,580.16x = 97,394.82 × 38,747.96
  4. Step 4: Simplify right side
    70,580.16x = 3,773,850,589.57
  5. Step 5: Solve for x
    x = 3,773,850,589.57/70,580.16
  6. Step 6: Final answer
    x = 53,469.00

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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.