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Finding the Fourth Proportional to 30,296.76, 45,450.18 and 9,519

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Solution

The fourth proportional to 30,296.76, 45,450.18 and 9,519 is: 14,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.76 : 45,450.18 = 9,519 : x
  2. Step 2: Convert to fraction form
    30,296.76/45,450.18 = 9,519/x
  3. Step 3: Cross multiply
    30,296.76x = 45,450.18 × 9,519
  4. Step 4: Simplify right side
    30,296.76x = 432,640,263.42
  5. Step 5: Solve for x
    x = 432,640,263.42/30,296.76
  6. Step 6: Final answer
    x = 14,280.08

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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.