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Finding the Fourth Proportional to 54,765.69, 82,301.90 and 32,582.49

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Solution

The fourth proportional to 54,765.69, 82,301.90 and 32,582.49 is: 48,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,765.69 : 82,301.90 = 32,582.49 : x
  2. Step 2: Convert to fraction form
    54,765.69/82,301.90 = 32,582.49/x
  3. Step 3: Cross multiply
    54,765.69x = 82,301.90 × 32,582.49
  4. Step 4: Simplify right side
    54,765.69x = 2,681,600,670.82
  5. Step 5: Solve for x
    x = 2,681,600,670.82/54,765.69
  6. Step 6: Final answer
    x = 48,964.98

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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.