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Finding the Fourth Proportional to 30,853.63, 42,578.03 and 16,706.48

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Solution

The fourth proportional to 30,853.63, 42,578.03 and 16,706.48 is: 23,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.63 : 42,578.03 = 16,706.48 : x
  2. Step 2: Convert to fraction form
    30,853.63/42,578.03 = 16,706.48/x
  3. Step 3: Cross multiply
    30,853.63x = 42,578.03 × 16,706.48
  4. Step 4: Simplify right side
    30,853.63x = 711,329,006.63
  5. Step 5: Solve for x
    x = 711,329,006.63/30,853.63
  6. Step 6: Final answer
    x = 23,054.95

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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.