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Finding the Fourth Proportional to 47,159.50, 70,724.22 and 15,563.68

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Solution

The fourth proportional to 47,159.50, 70,724.22 and 15,563.68 is: 23,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,159.50 : 70,724.22 = 15,563.68 : x
  2. Step 2: Convert to fraction form
    47,159.50/70,724.22 = 15,563.68/x
  3. Step 3: Cross multiply
    47,159.50x = 70,724.22 × 15,563.68
  4. Step 4: Simplify right side
    47,159.50x = 1,100,729,128.33
  5. Step 5: Solve for x
    x = 1,100,729,128.33/47,159.50
  6. Step 6: Final answer
    x = 23,340.56

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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.