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Finding the Fourth Proportional to 36,215.20, 54,322.84 and 9,920.16

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Solution

The fourth proportional to 36,215.20, 54,322.84 and 9,920.16 is: 14,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,215.20 : 54,322.84 = 9,920.16 : x
  2. Step 2: Convert to fraction form
    36,215.20/54,322.84 = 9,920.16/x
  3. Step 3: Cross multiply
    36,215.20x = 54,322.84 × 9,920.16
  4. Step 4: Simplify right side
    36,215.20x = 538,891,264.45
  5. Step 5: Solve for x
    x = 538,891,264.45/36,215.20
  6. Step 6: Final answer
    x = 14,880.25

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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.