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Finding the Fourth Proportional to 58,575.98, 87,896.75 and 31,923.78

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Solution

The fourth proportional to 58,575.98, 87,896.75 and 31,923.78 is: 47,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,575.98 : 87,896.75 = 31,923.78 : x
  2. Step 2: Convert to fraction form
    58,575.98/87,896.75 = 31,923.78/x
  3. Step 3: Cross multiply
    58,575.98x = 87,896.75 × 31,923.78
  4. Step 4: Simplify right side
    58,575.98x = 2,805,995,910.61
  5. Step 5: Solve for x
    x = 2,805,995,910.61/58,575.98
  6. Step 6: Final answer
    x = 47,903.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.