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Finding the Fourth Proportional to 36,458.48, 54,624.72 and 28,469

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Solution

The fourth proportional to 36,458.48, 54,624.72 and 28,469 is: 42,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458.48 : 54,624.72 = 28,469 : x
  2. Step 2: Convert to fraction form
    36,458.48/54,624.72 = 28,469/x
  3. Step 3: Cross multiply
    36,458.48x = 54,624.72 × 28,469
  4. Step 4: Simplify right side
    36,458.48x = 1,555,111,153.68
  5. Step 5: Solve for x
    x = 1,555,111,153.68/36,458.48
  6. Step 6: Final answer
    x = 42,654.31

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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.