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Finding the Fourth Proportional to 51,284.60, 76,970.10 and 20,142.20

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Solution

The fourth proportional to 51,284.60, 76,970.10 and 20,142.20 is: 30,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284.60 : 76,970.10 = 20,142.20 : x
  2. Step 2: Convert to fraction form
    51,284.60/76,970.10 = 20,142.20/x
  3. Step 3: Cross multiply
    51,284.60x = 76,970.10 × 20,142.20
  4. Step 4: Simplify right side
    51,284.60x = 1,550,347,148.22
  5. Step 5: Solve for x
    x = 1,550,347,148.22/51,284.60
  6. Step 6: Final answer
    x = 30,230.27

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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.