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Finding the Fourth Proportional to 38,137.50, 52,629.75 and 22,221.95

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Solution

The fourth proportional to 38,137.50, 52,629.75 and 22,221.95 is: 30,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.50 : 52,629.75 = 22,221.95 : x
  2. Step 2: Convert to fraction form
    38,137.50/52,629.75 = 22,221.95/x
  3. Step 3: Cross multiply
    38,137.50x = 52,629.75 × 22,221.95
  4. Step 4: Simplify right side
    38,137.50x = 1,169,535,409.86
  5. Step 5: Solve for x
    x = 1,169,535,409.86/38,137.50
  6. Step 6: Final answer
    x = 30,666.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.