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Finding the Fourth Proportional to 53,405.16, 80,107.91 and 20,116.28

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Solution

The fourth proportional to 53,405.16, 80,107.91 and 20,116.28 is: 30,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.16 : 80,107.91 = 20,116.28 : x
  2. Step 2: Convert to fraction form
    53,405.16/80,107.91 = 20,116.28/x
  3. Step 3: Cross multiply
    53,405.16x = 80,107.91 × 20,116.28
  4. Step 4: Simplify right side
    53,405.16x = 1,611,473,322.90
  5. Step 5: Solve for x
    x = 1,611,473,322.90/53,405.16
  6. Step 6: Final answer
    x = 30,174.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.