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Finding the Fourth Proportional to 48,147.60, 72,219.68 and 16,982

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Solution

The fourth proportional to 48,147.60, 72,219.68 and 16,982 is: 25,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,147.60 : 72,219.68 = 16,982 : x
  2. Step 2: Convert to fraction form
    48,147.60/72,219.68 = 16,982/x
  3. Step 3: Cross multiply
    48,147.60x = 72,219.68 × 16,982
  4. Step 4: Simplify right side
    48,147.60x = 1,226,434,605.76
  5. Step 5: Solve for x
    x = 1,226,434,605.76/48,147.60
  6. Step 6: Final answer
    x = 25,472.39

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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.