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Finding the Fourth Proportional to 58,846.92, 81,209.30 and 31,989.51

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Solution

The fourth proportional to 58,846.92, 81,209.30 and 31,989.51 is: 44,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846.92 : 81,209.30 = 31,989.51 : x
  2. Step 2: Convert to fraction form
    58,846.92/81,209.30 = 31,989.51/x
  3. Step 3: Cross multiply
    58,846.92x = 81,209.30 × 31,989.51
  4. Step 4: Simplify right side
    58,846.92x = 2,597,845,714.44
  5. Step 5: Solve for x
    x = 2,597,845,714.44/58,846.92
  6. Step 6: Final answer
    x = 44,145.82

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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.