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Finding the Fourth Proportional to 49,709.76, 74,416.56 and 33,012

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Solution

The fourth proportional to 49,709.76, 74,416.56 and 33,012 is: 49,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.76 : 74,416.56 = 33,012 : x
  2. Step 2: Convert to fraction form
    49,709.76/74,416.56 = 33,012/x
  3. Step 3: Cross multiply
    49,709.76x = 74,416.56 × 33,012
  4. Step 4: Simplify right side
    49,709.76x = 2,456,639,478.72
  5. Step 5: Solve for x
    x = 2,456,639,478.72/49,709.76
  6. Step 6: Final answer
    x = 49,419.66

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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.