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Finding the Fourth Proportional to 54,658.72, 82,032.63 and 28,370.98

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Solution

The fourth proportional to 54,658.72, 82,032.63 and 28,370.98 is: 42,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.72 : 82,032.63 = 28,370.98 : x
  2. Step 2: Convert to fraction form
    54,658.72/82,032.63 = 28,370.98/x
  3. Step 3: Cross multiply
    54,658.72x = 82,032.63 × 28,370.98
  4. Step 4: Simplify right side
    54,658.72x = 2,327,346,105.08
  5. Step 5: Solve for x
    x = 2,327,346,105.08/54,658.72
  6. Step 6: Final answer
    x = 42,579.59

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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.