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Finding the Fourth Proportional to 20,083.81, 30,125.54 and 6,043.76

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Solution

The fourth proportional to 20,083.81, 30,125.54 and 6,043.76 is: 9,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.81 : 30,125.54 = 6,043.76 : x
  2. Step 2: Convert to fraction form
    20,083.81/30,125.54 = 6,043.76/x
  3. Step 3: Cross multiply
    20,083.81x = 30,125.54 × 6,043.76
  4. Step 4: Simplify right side
    20,083.81x = 182,071,518.52
  5. Step 5: Solve for x
    x = 182,071,518.52/20,083.81
  6. Step 6: Final answer
    x = 9,065.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.