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Finding the Fourth Proportional to 58,296, 80,448.48 and 31,800

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Solution

The fourth proportional to 58,296, 80,448.48 and 31,800 is: 43,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296 : 80,448.48 = 31,800 : x
  2. Step 2: Convert to fraction form
    58,296/80,448.48 = 31,800/x
  3. Step 3: Cross multiply
    58,296x = 80,448.48 × 31,800
  4. Step 4: Simplify right side
    58,296x = 2,558,261,664
  5. Step 5: Solve for x
    x = 2,558,261,664/58,296
  6. Step 6: Final answer
    x = 43,884

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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.