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Finding the Fourth Proportional to 59,876, 89,817.60 and 18,323.36

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Solution

The fourth proportional to 59,876, 89,817.60 and 18,323.36 is: 27,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,876 : 89,817.60 = 18,323.36 : x
  2. Step 2: Convert to fraction form
    59,876/89,817.60 = 18,323.36/x
  3. Step 3: Cross multiply
    59,876x = 89,817.60 × 18,323.36
  4. Step 4: Simplify right side
    59,876x = 1,645,760,219.14
  5. Step 5: Solve for x
    x = 1,645,760,219.14/59,876
  6. Step 6: Final answer
    x = 27,486.14

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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.