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Finding the Fourth Proportional to 58,840.68, 81,200.52 and 31,983.42

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Solution

The fourth proportional to 58,840.68, 81,200.52 and 31,983.42 is: 44,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,840.68 : 81,200.52 = 31,983.42 : x
  2. Step 2: Convert to fraction form
    58,840.68/81,200.52 = 31,983.42/x
  3. Step 3: Cross multiply
    58,840.68x = 81,200.52 × 31,983.42
  4. Step 4: Simplify right side
    58,840.68x = 2,597,070,335.38
  5. Step 5: Solve for x
    x = 2,597,070,335.38/58,840.68
  6. Step 6: Final answer
    x = 44,137.33

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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.