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Finding the Fourth Proportional to 36,909.50, 55,386.39 and 13,538.30

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Solution

The fourth proportional to 36,909.50, 55,386.39 and 13,538.30 is: 20,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.50 : 55,386.39 = 13,538.30 : x
  2. Step 2: Convert to fraction form
    36,909.50/55,386.39 = 13,538.30/x
  3. Step 3: Cross multiply
    36,909.50x = 55,386.39 × 13,538.30
  4. Step 4: Simplify right side
    36,909.50x = 749,837,563.74
  5. Step 5: Solve for x
    x = 749,837,563.74/36,909.50
  6. Step 6: Final answer
    x = 20,315.57

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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.