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Finding the Fourth Proportional to 30,853.40, 42,577.50 and 16,705.94

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Solution

The fourth proportional to 30,853.40, 42,577.50 and 16,705.94 is: 23,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.40 : 42,577.50 = 16,705.94 : x
  2. Step 2: Convert to fraction form
    30,853.40/42,577.50 = 16,705.94/x
  3. Step 3: Cross multiply
    30,853.40x = 42,577.50 × 16,705.94
  4. Step 4: Simplify right side
    30,853.40x = 711,297,160.35
  5. Step 5: Solve for x
    x = 711,297,160.35/30,853.40
  6. Step 6: Final answer
    x = 23,054.09

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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.