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Finding the Fourth Proportional to 31,106.52, 43,108.53 and 30,515.76

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Solution

The fourth proportional to 31,106.52, 43,108.53 and 30,515.76 is: 42,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.52 : 43,108.53 = 30,515.76 : x
  2. Step 2: Convert to fraction form
    31,106.52/43,108.53 = 30,515.76/x
  3. Step 3: Cross multiply
    31,106.52x = 43,108.53 × 30,515.76
  4. Step 4: Simplify right side
    31,106.52x = 1,315,489,555.43
  5. Step 5: Solve for x
    x = 1,315,489,555.43/31,106.52
  6. Step 6: Final answer
    x = 42,289.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.