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Finding the Fourth Proportional to 75,706.74, 113,573.43 and 31,308.62

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Solution

The fourth proportional to 75,706.74, 113,573.43 and 31,308.62 is: 46,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.74 : 113,573.43 = 31,308.62 : x
  2. Step 2: Convert to fraction form
    75,706.74/113,573.43 = 31,308.62/x
  3. Step 3: Cross multiply
    75,706.74x = 113,573.43 × 31,308.62
  4. Step 4: Simplify right side
    75,706.74x = 3,555,826,794.10
  5. Step 5: Solve for x
    x = 3,555,826,794.10/75,706.74
  6. Step 6: Final answer
    x = 46,968.43

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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.