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Finding the Fourth Proportional to 47,573.68, 71,360.52 and 16,406.52

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Solution

The fourth proportional to 47,573.68, 71,360.52 and 16,406.52 is: 24,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573.68 : 71,360.52 = 16,406.52 : x
  2. Step 2: Convert to fraction form
    47,573.68/71,360.52 = 16,406.52/x
  3. Step 3: Cross multiply
    47,573.68x = 71,360.52 × 16,406.52
  4. Step 4: Simplify right side
    47,573.68x = 1,170,777,798.59
  5. Step 5: Solve for x
    x = 1,170,777,798.59/47,573.68
  6. Step 6: Final answer
    x = 24,609.78

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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.