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Finding the Fourth Proportional to 31,102.56, 46,654.56 and 28,695.60

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Solution

The fourth proportional to 31,102.56, 46,654.56 and 28,695.60 is: 43,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.56 : 46,654.56 = 28,695.60 : x
  2. Step 2: Convert to fraction form
    31,102.56/46,654.56 = 28,695.60/x
  3. Step 3: Cross multiply
    31,102.56x = 46,654.56 × 28,695.60
  4. Step 4: Simplify right side
    31,102.56x = 1,338,780,591.94
  5. Step 5: Solve for x
    x = 1,338,780,591.94/31,102.56
  6. Step 6: Final answer
    x = 43,044.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.