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Finding the Fourth Proportional to 38,009.88, 52,451.70 and 22,091.76

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Solution

The fourth proportional to 38,009.88, 52,451.70 and 22,091.76 is: 30,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.88 : 52,451.70 = 22,091.76 : x
  2. Step 2: Convert to fraction form
    38,009.88/52,451.70 = 22,091.76/x
  3. Step 3: Cross multiply
    38,009.88x = 52,451.70 × 22,091.76
  4. Step 4: Simplify right side
    38,009.88x = 1,158,750,367.99
  5. Step 5: Solve for x
    x = 1,158,750,367.99/38,009.88
  6. Step 6: Final answer
    x = 30,485.50

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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.