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Finding the Fourth Proportional to 30,853.58, 42,578.10 and 16,706.41

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Solution

The fourth proportional to 30,853.58, 42,578.10 and 16,706.41 is: 23,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.58 : 42,578.10 = 16,706.41 : x
  2. Step 2: Convert to fraction form
    30,853.58/42,578.10 = 16,706.41/x
  3. Step 3: Cross multiply
    30,853.58x = 42,578.10 × 16,706.41
  4. Step 4: Simplify right side
    30,853.58x = 711,327,089.18
  5. Step 5: Solve for x
    x = 711,327,089.18/30,853.58
  6. Step 6: Final answer
    x = 23,054.93

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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.