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Finding the Fourth Proportional to 103,443.24, 142,751.84 and 58,731.24

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Solution

The fourth proportional to 103,443.24, 142,751.84 and 58,731.24 is: 81,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443.24 : 142,751.84 = 58,731.24 : x
  2. Step 2: Convert to fraction form
    103,443.24/142,751.84 = 58,731.24/x
  3. Step 3: Cross multiply
    103,443.24x = 142,751.84 × 58,731.24
  4. Step 4: Simplify right side
    103,443.24x = 8,383,992,575.48
  5. Step 5: Solve for x
    x = 8,383,992,575.48/103,443.24
  6. Step 6: Final answer
    x = 81,049.21

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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.