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Finding the Fourth Proportional to 70,651.50, 105,977.49 and 21,403.50

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Solution

The fourth proportional to 70,651.50, 105,977.49 and 21,403.50 is: 32,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,651.50 : 105,977.49 = 21,403.50 : x
  2. Step 2: Convert to fraction form
    70,651.50/105,977.49 = 21,403.50/x
  3. Step 3: Cross multiply
    70,651.50x = 105,977.49 × 21,403.50
  4. Step 4: Simplify right side
    70,651.50x = 2,268,289,207.22
  5. Step 5: Solve for x
    x = 2,268,289,207.22/70,651.50
  6. Step 6: Final answer
    x = 32,105.32

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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.