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Finding the Fourth Proportional to 58,755.96, 81,083.28 and 31,898.46

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Solution

The fourth proportional to 58,755.96, 81,083.28 and 31,898.46 is: 44,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,755.96 : 81,083.28 = 31,898.46 : x
  2. Step 2: Convert to fraction form
    58,755.96/81,083.28 = 31,898.46/x
  3. Step 3: Cross multiply
    58,755.96x = 81,083.28 × 31,898.46
  4. Step 4: Simplify right side
    58,755.96x = 2,586,431,763.75
  5. Step 5: Solve for x
    x = 2,586,431,763.75/58,755.96
  6. Step 6: Final answer
    x = 44,019.90

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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.