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Finding the Fourth Proportional to 30,578.22, 45,861.53 and 9,518.53

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Solution

The fourth proportional to 30,578.22, 45,861.53 and 9,518.53 is: 14,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.22 : 45,861.53 = 9,518.53 : x
  2. Step 2: Convert to fraction form
    30,578.22/45,861.53 = 9,518.53/x
  3. Step 3: Cross multiply
    30,578.22x = 45,861.53 × 9,518.53
  4. Step 4: Simplify right side
    30,578.22x = 436,534,143.64
  5. Step 5: Solve for x
    x = 436,534,143.64/30,578.22
  6. Step 6: Final answer
    x = 14,275.98

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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.