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Finding the Fourth Proportional to 58,751.48, 81,076.96 and 31,894

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Solution

The fourth proportional to 58,751.48, 81,076.96 and 31,894 is: 44,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,751.48 : 81,076.96 = 31,894 : x
  2. Step 2: Convert to fraction form
    58,751.48/81,076.96 = 31,894/x
  3. Step 3: Cross multiply
    58,751.48x = 81,076.96 × 31,894
  4. Step 4: Simplify right side
    58,751.48x = 2,585,868,562.24
  5. Step 5: Solve for x
    x = 2,585,868,562.24/58,751.48
  6. Step 6: Final answer
    x = 44,013.68

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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.