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Finding the Fourth Proportional to 73,813.50, 110,720.66 and 18,409.50

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Solution

The fourth proportional to 73,813.50, 110,720.66 and 18,409.50 is: 27,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.50 : 110,720.66 = 18,409.50 : x
  2. Step 2: Convert to fraction form
    73,813.50/110,720.66 = 18,409.50/x
  3. Step 3: Cross multiply
    73,813.50x = 110,720.66 × 18,409.50
  4. Step 4: Simplify right side
    73,813.50x = 2,038,311,898.22
  5. Step 5: Solve for x
    x = 2,038,311,898.22/73,813.50
  6. Step 6: Final answer
    x = 27,614.35

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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.