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Finding the Fourth Proportional to 30,643.74, 42,306.09 and 20,051.85

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Solution

The fourth proportional to 30,643.74, 42,306.09 and 20,051.85 is: 27,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.74 : 42,306.09 = 20,051.85 : x
  2. Step 2: Convert to fraction form
    30,643.74/42,306.09 = 20,051.85/x
  3. Step 3: Cross multiply
    30,643.74x = 42,306.09 × 20,051.85
  4. Step 4: Simplify right side
    30,643.74x = 848,315,370.77
  5. Step 5: Solve for x
    x = 848,315,370.77/30,643.74
  6. Step 6: Final answer
    x = 27,683.15

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