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Finding the Fourth Proportional to 73,802.63, 110,682.30 and 33,798.98

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Solution

The fourth proportional to 73,802.63, 110,682.30 and 33,798.98 is: 50,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.63 : 110,682.30 = 33,798.98 : x
  2. Step 2: Convert to fraction form
    73,802.63/110,682.30 = 33,798.98/x
  3. Step 3: Cross multiply
    73,802.63x = 110,682.30 × 33,798.98
  4. Step 4: Simplify right side
    73,802.63x = 3,740,948,844.05
  5. Step 5: Solve for x
    x = 3,740,948,844.05/73,802.63
  6. Step 6: Final answer
    x = 50,688.56

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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.