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Finding the Fourth Proportional to 73,533.66, 110,318.89 and 20,943.14

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Solution

The fourth proportional to 73,533.66, 110,318.89 and 20,943.14 is: 31,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,533.66 : 110,318.89 = 20,943.14 : x
  2. Step 2: Convert to fraction form
    73,533.66/110,318.89 = 20,943.14/x
  3. Step 3: Cross multiply
    73,533.66x = 110,318.89 × 20,943.14
  4. Step 4: Simplify right side
    73,533.66x = 2,310,424,420.28
  5. Step 5: Solve for x
    x = 2,310,424,420.28/73,533.66
  6. Step 6: Final answer
    x = 31,419.96

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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.