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Finding the Fourth Proportional to 55,087.16, 82,615.98 and 23,915

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Solution

The fourth proportional to 55,087.16, 82,615.98 and 23,915 is: 35,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,087.16 : 82,615.98 = 23,915 : x
  2. Step 2: Convert to fraction form
    55,087.16/82,615.98 = 23,915/x
  3. Step 3: Cross multiply
    55,087.16x = 82,615.98 × 23,915
  4. Step 4: Simplify right side
    55,087.16x = 1,975,761,161.70
  5. Step 5: Solve for x
    x = 1,975,761,161.70/55,087.16
  6. Step 6: Final answer
    x = 35,866.09

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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.