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Finding the Fourth Proportional to 58,783.84, 81,122.30 and 31,926.87

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Solution

The fourth proportional to 58,783.84, 81,122.30 and 31,926.87 is: 44,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,783.84 : 81,122.30 = 31,926.87 : x
  2. Step 2: Convert to fraction form
    58,783.84/81,122.30 = 31,926.87/x
  3. Step 3: Cross multiply
    58,783.84x = 81,122.30 × 31,926.87
  4. Step 4: Simplify right side
    58,783.84x = 2,589,981,126.20
  5. Step 5: Solve for x
    x = 2,589,981,126.20/58,783.84
  6. Step 6: Final answer
    x = 44,059.41

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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.