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Finding the Fourth Proportional to 73,283.42, 109,933.10 and 23,351.78

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Solution

The fourth proportional to 73,283.42, 109,933.10 and 23,351.78 is: 35,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.42 : 109,933.10 = 23,351.78 : x
  2. Step 2: Convert to fraction form
    73,283.42/109,933.10 = 23,351.78/x
  3. Step 3: Cross multiply
    73,283.42x = 109,933.10 × 23,351.78
  4. Step 4: Simplify right side
    73,283.42x = 2,567,133,565.92
  5. Step 5: Solve for x
    x = 2,567,133,565.92/73,283.42
  6. Step 6: Final answer
    x = 35,030.21

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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.