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Finding the Fourth Proportional to 68,048.15, 101,924.50 and 32,914.13

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Solution

The fourth proportional to 68,048.15, 101,924.50 and 32,914.13 is: 49,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048.15 : 101,924.50 = 32,914.13 : x
  2. Step 2: Convert to fraction form
    68,048.15/101,924.50 = 32,914.13/x
  3. Step 3: Cross multiply
    68,048.15x = 101,924.50 × 32,914.13
  4. Step 4: Simplify right side
    68,048.15x = 3,354,756,243.19
  5. Step 5: Solve for x
    x = 3,354,756,243.19/68,048.15
  6. Step 6: Final answer
    x = 49,299.74

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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.