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Finding the Fourth Proportional to 114,761.52, 172,071.81 and 39,849.48

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Solution

The fourth proportional to 114,761.52, 172,071.81 and 39,849.48 is: 59,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,761.52 : 172,071.81 = 39,849.48 : x
  2. Step 2: Convert to fraction form
    114,761.52/172,071.81 = 39,849.48/x
  3. Step 3: Cross multiply
    114,761.52x = 172,071.81 × 39,849.48
  4. Step 4: Simplify right side
    114,761.52x = 6,856,972,151.16
  5. Step 5: Solve for x
    x = 6,856,972,151.16/114,761.52
  6. Step 6: Final answer
    x = 59,749.75

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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.