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Finding the Fourth Proportional to 42,564.93, 63,847.20 and 12,982.68

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Solution

The fourth proportional to 42,564.93, 63,847.20 and 12,982.68 is: 19,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.93 : 63,847.20 = 12,982.68 : x
  2. Step 2: Convert to fraction form
    42,564.93/63,847.20 = 12,982.68/x
  3. Step 3: Cross multiply
    42,564.93x = 63,847.20 × 12,982.68
  4. Step 4: Simplify right side
    42,564.93x = 828,907,766.50
  5. Step 5: Solve for x
    x = 828,907,766.50/42,564.93
  6. Step 6: Final answer
    x = 19,473.96

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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.