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Finding the Fourth Proportional to 82,924.98, 124,408.92 and 23,764.98

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Solution

The fourth proportional to 82,924.98, 124,408.92 and 23,764.98 is: 35,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.98 : 124,408.92 = 23,764.98 : x
  2. Step 2: Convert to fraction form
    82,924.98/124,408.92 = 23,764.98/x
  3. Step 3: Cross multiply
    82,924.98x = 124,408.92 × 23,764.98
  4. Step 4: Simplify right side
    82,924.98x = 2,956,575,495.62
  5. Step 5: Solve for x
    x = 2,956,575,495.62/82,924.98
  6. Step 6: Final answer
    x = 35,653.62

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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.