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Finding the Fourth Proportional to 31,788.68, 47,704.62 and 11,012

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Solution

The fourth proportional to 31,788.68, 47,704.62 and 11,012 is: 16,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.68 : 47,704.62 = 11,012 : x
  2. Step 2: Convert to fraction form
    31,788.68/47,704.62 = 11,012/x
  3. Step 3: Cross multiply
    31,788.68x = 47,704.62 × 11,012
  4. Step 4: Simplify right side
    31,788.68x = 525,323,275.44
  5. Step 5: Solve for x
    x = 525,323,275.44/31,788.68
  6. Step 6: Final answer
    x = 16,525.48

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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.