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Finding the Fourth Proportional to 58,816.42, 81,167.38 and 31,959.38

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Solution

The fourth proportional to 58,816.42, 81,167.38 and 31,959.38 is: 44,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,816.42 : 81,167.38 = 31,959.38 : x
  2. Step 2: Convert to fraction form
    58,816.42/81,167.38 = 31,959.38/x
  3. Step 3: Cross multiply
    58,816.42x = 81,167.38 × 31,959.38
  4. Step 4: Simplify right side
    58,816.42x = 2,594,059,141.02
  5. Step 5: Solve for x
    x = 2,594,059,141.02/58,816.42
  6. Step 6: Final answer
    x = 44,104.34

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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.