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Finding the Fourth Proportional to 30,182.49, 45,256.08 and 9,116.19

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Solution

The fourth proportional to 30,182.49, 45,256.08 and 9,116.19 is: 13,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.49 : 45,256.08 = 9,116.19 : x
  2. Step 2: Convert to fraction form
    30,182.49/45,256.08 = 9,116.19/x
  3. Step 3: Cross multiply
    30,182.49x = 45,256.08 × 9,116.19
  4. Step 4: Simplify right side
    30,182.49x = 412,563,023.94
  5. Step 5: Solve for x
    x = 412,563,023.94/30,182.49
  6. Step 6: Final answer
    x = 13,668.95

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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.