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Finding the Fourth Proportional to 61,171.56, 91,748.70 and 19,613.16

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Solution

The fourth proportional to 61,171.56, 91,748.70 and 19,613.16 is: 29,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,171.56 : 91,748.70 = 19,613.16 : x
  2. Step 2: Convert to fraction form
    61,171.56/91,748.70 = 19,613.16/x
  3. Step 3: Cross multiply
    61,171.56x = 91,748.70 × 19,613.16
  4. Step 4: Simplify right side
    61,171.56x = 1,799,481,932.89
  5. Step 5: Solve for x
    x = 1,799,481,932.89/61,171.56
  6. Step 6: Final answer
    x = 29,416.97

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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.