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Finding the Fourth Proportional to 30,507.60, 45,761.28 and 20,116.80

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Solution

The fourth proportional to 30,507.60, 45,761.28 and 20,116.80 is: 30,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.60 : 45,761.28 = 20,116.80 : x
  2. Step 2: Convert to fraction form
    30,507.60/45,761.28 = 20,116.80/x
  3. Step 3: Cross multiply
    30,507.60x = 45,761.28 × 20,116.80
  4. Step 4: Simplify right side
    30,507.60x = 920,570,517.50
  5. Step 5: Solve for x
    x = 920,570,517.50/30,507.60
  6. Step 6: Final answer
    x = 30,175.12

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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.