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Finding the Fourth Proportional to 41,118.50, 61,687.50 and 13,416.50

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Solution

The fourth proportional to 41,118.50, 61,687.50 and 13,416.50 is: 20,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118.50 : 61,687.50 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    41,118.50/61,687.50 = 13,416.50/x
  3. Step 3: Cross multiply
    41,118.50x = 61,687.50 × 13,416.50
  4. Step 4: Simplify right side
    41,118.50x = 827,630,343.75
  5. Step 5: Solve for x
    x = 827,630,343.75/41,118.50
  6. Step 6: Final answer
    x = 20,127.93

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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.