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Finding the Fourth Proportional to 52,040.38, 71,817.04 and 31,908.36

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Solution

The fourth proportional to 52,040.38, 71,817.04 and 31,908.36 is: 44,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,040.38 : 71,817.04 = 31,908.36 : x
  2. Step 2: Convert to fraction form
    52,040.38/71,817.04 = 31,908.36/x
  3. Step 3: Cross multiply
    52,040.38x = 71,817.04 × 31,908.36
  4. Step 4: Simplify right side
    52,040.38x = 2,291,563,966.45
  5. Step 5: Solve for x
    x = 2,291,563,966.45/52,040.38
  6. Step 6: Final answer
    x = 44,034.34

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Why These Related Problems?

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