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Finding the Fourth Proportional to 30,577.60, 42,193 and 16,965.42

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Solution

The fourth proportional to 30,577.60, 42,193 and 16,965.42 is: 23,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.60 : 42,193 = 16,965.42 : x
  2. Step 2: Convert to fraction form
    30,577.60/42,193 = 16,965.42/x
  3. Step 3: Cross multiply
    30,577.60x = 42,193 × 16,965.42
  4. Step 4: Simplify right side
    30,577.60x = 715,821,966.06
  5. Step 5: Solve for x
    x = 715,821,966.06/30,577.60
  6. Step 6: Final answer
    x = 23,410.02

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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.