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Finding the Fourth Proportional to 73,614.81, 110,419.87 and 21,024.26

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Solution

The fourth proportional to 73,614.81, 110,419.87 and 21,024.26 is: 31,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,614.81 : 110,419.87 = 21,024.26 : x
  2. Step 2: Convert to fraction form
    73,614.81/110,419.87 = 21,024.26/x
  3. Step 3: Cross multiply
    73,614.81x = 110,419.87 × 21,024.26
  4. Step 4: Simplify right side
    73,614.81x = 2,321,496,056.05
  5. Step 5: Solve for x
    x = 2,321,496,056.05/73,614.81
  6. Step 6: Final answer
    x = 31,535.72

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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.