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Finding the Fourth Proportional to 47,731.60, 71,575.80 and 21,422.80

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Solution

The fourth proportional to 47,731.60, 71,575.80 and 21,422.80 is: 32,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,731.60 : 71,575.80 = 21,422.80 : x
  2. Step 2: Convert to fraction form
    47,731.60/71,575.80 = 21,422.80/x
  3. Step 3: Cross multiply
    47,731.60x = 71,575.80 × 21,422.80
  4. Step 4: Simplify right side
    47,731.60x = 1,533,354,048.24
  5. Step 5: Solve for x
    x = 1,533,354,048.24/47,731.60
  6. Step 6: Final answer
    x = 32,124.51

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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.