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Finding the Fourth Proportional to 59,654, 89,481.72 and 26,822

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Solution

The fourth proportional to 59,654, 89,481.72 and 26,822 is: 40,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,654 : 89,481.72 = 26,822 : x
  2. Step 2: Convert to fraction form
    59,654/89,481.72 = 26,822/x
  3. Step 3: Cross multiply
    59,654x = 89,481.72 × 26,822
  4. Step 4: Simplify right side
    59,654x = 2,400,078,693.84
  5. Step 5: Solve for x
    x = 2,400,078,693.84/59,654
  6. Step 6: Final answer
    x = 40,233.32

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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.