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Finding the Fourth Proportional to 52,108.47, 71,911.01 and 31,976.47

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Solution

The fourth proportional to 52,108.47, 71,911.01 and 31,976.47 is: 44,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.47 : 71,911.01 = 31,976.47 : x
  2. Step 2: Convert to fraction form
    52,108.47/71,911.01 = 31,976.47/x
  3. Step 3: Cross multiply
    52,108.47x = 71,911.01 × 31,976.47
  4. Step 4: Simplify right side
    52,108.47x = 2,299,460,253.93
  5. Step 5: Solve for x
    x = 2,299,460,253.93/52,108.47
  6. Step 6: Final answer
    x = 44,128.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.