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Finding the Fourth Proportional to 31,852.80, 47,739.84 and 11,052

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Solution

The fourth proportional to 31,852.80, 47,739.84 and 11,052 is: 16,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.80 : 47,739.84 = 11,052 : x
  2. Step 2: Convert to fraction form
    31,852.80/47,739.84 = 11,052/x
  3. Step 3: Cross multiply
    31,852.80x = 47,739.84 × 11,052
  4. Step 4: Simplify right side
    31,852.80x = 527,620,711.68
  5. Step 5: Solve for x
    x = 527,620,711.68/31,852.80
  6. Step 6: Final answer
    x = 16,564.34

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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.