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Finding the Fourth Proportional to 52,847.48, 79,282.92 and 17,786

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Solution

The fourth proportional to 52,847.48, 79,282.92 and 17,786 is: 26,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847.48 : 79,282.92 = 17,786 : x
  2. Step 2: Convert to fraction form
    52,847.48/79,282.92 = 17,786/x
  3. Step 3: Cross multiply
    52,847.48x = 79,282.92 × 17,786
  4. Step 4: Simplify right side
    52,847.48x = 1,410,126,015.12
  5. Step 5: Solve for x
    x = 1,410,126,015.12/52,847.48
  6. Step 6: Final answer
    x = 26,682.94

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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.