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Finding the Fourth Proportional to 30,706.16, 42,379.61 and 17,783.57

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Solution

The fourth proportional to 30,706.16, 42,379.61 and 17,783.57 is: 24,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.16 : 42,379.61 = 17,783.57 : x
  2. Step 2: Convert to fraction form
    30,706.16/42,379.61 = 17,783.57/x
  3. Step 3: Cross multiply
    30,706.16x = 42,379.61 × 17,783.57
  4. Step 4: Simplify right side
    30,706.16x = 753,660,761.01
  5. Step 5: Solve for x
    x = 753,660,761.01/30,706.16
  6. Step 6: Final answer
    x = 24,544.29

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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.