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Finding the Fourth Proportional to 104,906.48, 157,359.72 and 31,034.48

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Solution

The fourth proportional to 104,906.48, 157,359.72 and 31,034.48 is: 46,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.48 : 157,359.72 = 31,034.48 : x
  2. Step 2: Convert to fraction form
    104,906.48/157,359.72 = 31,034.48/x
  3. Step 3: Cross multiply
    104,906.48x = 157,359.72 × 31,034.48
  4. Step 4: Simplify right side
    104,906.48x = 4,883,577,083.15
  5. Step 5: Solve for x
    x = 4,883,577,083.15/104,906.48
  6. Step 6: Final answer
    x = 46,551.72

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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.