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Finding the Fourth Proportional to 141,014.25, 211,532.31 and 47,520

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Solution

The fourth proportional to 141,014.25, 211,532.31 and 47,520 is: 71,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,014.25 : 211,532.31 = 47,520 : x
  2. Step 2: Convert to fraction form
    141,014.25/211,532.31 = 47,520/x
  3. Step 3: Cross multiply
    141,014.25x = 211,532.31 × 47,520
  4. Step 4: Simplify right side
    141,014.25x = 10,052,015,371.20
  5. Step 5: Solve for x
    x = 10,052,015,371.20/141,014.25
  6. Step 6: Final answer
    x = 71,283.68

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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.