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Finding the Fourth Proportional to 70,512.74, 105,796.80 and 31,042.16

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Solution

The fourth proportional to 70,512.74, 105,796.80 and 31,042.16 is: 46,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.74 : 105,796.80 = 31,042.16 : x
  2. Step 2: Convert to fraction form
    70,512.74/105,796.80 = 31,042.16/x
  3. Step 3: Cross multiply
    70,512.74x = 105,796.80 × 31,042.16
  4. Step 4: Simplify right side
    70,512.74x = 3,284,161,193.09
  5. Step 5: Solve for x
    x = 3,284,161,193.09/70,512.74
  6. Step 6: Final answer
    x = 46,575.43

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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.