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Finding the Fourth Proportional to 30,384.28, 45,581.96 and 13,752.16

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Solution

The fourth proportional to 30,384.28, 45,581.96 and 13,752.16 is: 20,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.28 : 45,581.96 = 13,752.16 : x
  2. Step 2: Convert to fraction form
    30,384.28/45,581.96 = 13,752.16/x
  3. Step 3: Cross multiply
    30,384.28x = 45,581.96 × 13,752.16
  4. Step 4: Simplify right side
    30,384.28x = 626,850,407.03
  5. Step 5: Solve for x
    x = 626,850,407.03/30,384.28
  6. Step 6: Final answer
    x = 20,630.75

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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.