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Finding the Fourth Proportional to 30,575.60, 45,867.68 and 9,517.19

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Solution

The fourth proportional to 30,575.60, 45,867.68 and 9,517.19 is: 14,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.60 : 45,867.68 = 9,517.19 : x
  2. Step 2: Convert to fraction form
    30,575.60/45,867.68 = 9,517.19/x
  3. Step 3: Cross multiply
    30,575.60x = 45,867.68 × 9,517.19
  4. Step 4: Simplify right side
    30,575.60x = 436,531,148.49
  5. Step 5: Solve for x
    x = 436,531,148.49/30,575.60
  6. Step 6: Final answer
    x = 14,277.11

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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.