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Finding the Fourth Proportional to 30,575.60, 45,867.67 and 9,517.18

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Solution

The fourth proportional to 30,575.60, 45,867.67 and 9,517.18 is: 14,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.60 : 45,867.67 = 9,517.18 : x
  2. Step 2: Convert to fraction form
    30,575.60/45,867.67 = 9,517.18/x
  3. Step 3: Cross multiply
    30,575.60x = 45,867.67 × 9,517.18
  4. Step 4: Simplify right side
    30,575.60x = 436,530,871.57
  5. Step 5: Solve for x
    x = 436,530,871.57/30,575.60
  6. Step 6: Final answer
    x = 14,277.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.