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Finding the Fourth Proportional to 47,576.68, 71,365.02 and 16,409.50

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Solution

The fourth proportional to 47,576.68, 71,365.02 and 16,409.50 is: 24,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.68 : 71,365.02 = 16,409.50 : x
  2. Step 2: Convert to fraction form
    47,576.68/71,365.02 = 16,409.50/x
  3. Step 3: Cross multiply
    47,576.68x = 71,365.02 × 16,409.50
  4. Step 4: Simplify right side
    47,576.68x = 1,171,064,295.69
  5. Step 5: Solve for x
    x = 1,171,064,295.69/47,576.68
  6. Step 6: Final answer
    x = 24,614.25

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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.