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Finding the Fourth Proportional to 50,406.50, 75,609.76 and 13,470.50

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Solution

The fourth proportional to 50,406.50, 75,609.76 and 13,470.50 is: 20,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406.50 : 75,609.76 = 13,470.50 : x
  2. Step 2: Convert to fraction form
    50,406.50/75,609.76 = 13,470.50/x
  3. Step 3: Cross multiply
    50,406.50x = 75,609.76 × 13,470.50
  4. Step 4: Simplify right side
    50,406.50x = 1,018,501,272.08
  5. Step 5: Solve for x
    x = 1,018,501,272.08/50,406.50
  6. Step 6: Final answer
    x = 20,205.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.