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Finding the Fourth Proportional to 73,205.46, 109,806.82 and 23,289.01

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Solution

The fourth proportional to 73,205.46, 109,806.82 and 23,289.01 is: 34,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.46 : 109,806.82 = 23,289.01 : x
  2. Step 2: Convert to fraction form
    73,205.46/109,806.82 = 23,289.01/x
  3. Step 3: Cross multiply
    73,205.46x = 109,806.82 × 23,289.01
  4. Step 4: Simplify right side
    73,205.46x = 2,557,292,129.05
  5. Step 5: Solve for x
    x = 2,557,292,129.05/73,205.46
  6. Step 6: Final answer
    x = 34,933.08

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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.