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Finding the Fourth Proportional to 47,709.60, 71,503.20 and 26,649.60

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Solution

The fourth proportional to 47,709.60, 71,503.20 and 26,649.60 is: 39,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.60 : 71,503.20 = 26,649.60 : x
  2. Step 2: Convert to fraction form
    47,709.60/71,503.20 = 26,649.60/x
  3. Step 3: Cross multiply
    47,709.60x = 71,503.20 × 26,649.60
  4. Step 4: Simplify right side
    47,709.60x = 1,905,531,678.72
  5. Step 5: Solve for x
    x = 1,905,531,678.72/47,709.60
  6. Step 6: Final answer
    x = 39,940.21

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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.