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Finding the Fourth Proportional to 30,853.92, 42,578.08 and 16,706.56

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Solution

The fourth proportional to 30,853.92, 42,578.08 and 16,706.56 is: 23,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.92 : 42,578.08 = 16,706.56 : x
  2. Step 2: Convert to fraction form
    30,853.92/42,578.08 = 16,706.56/x
  3. Step 3: Cross multiply
    30,853.92x = 42,578.08 × 16,706.56
  4. Step 4: Simplify right side
    30,853.92x = 711,333,248.20
  5. Step 5: Solve for x
    x = 711,333,248.20/30,853.92
  6. Step 6: Final answer
    x = 23,054.87

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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.