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Finding the Fourth Proportional to 45,194, 67,814.64 and 32,816.28

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Solution

The fourth proportional to 45,194, 67,814.64 and 32,816.28 is: 49,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,194 : 67,814.64 = 32,816.28 : x
  2. Step 2: Convert to fraction form
    45,194/67,814.64 = 32,816.28/x
  3. Step 3: Cross multiply
    45,194x = 67,814.64 × 32,816.28
  4. Step 4: Simplify right side
    45,194x = 2,225,424,214.34
  5. Step 5: Solve for x
    x = 2,225,424,214.34/45,194
  6. Step 6: Final answer
    x = 49,241.59

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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.