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Finding the Fourth Proportional to 55,102.16, 82,638.48 and 23,930

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Solution

The fourth proportional to 55,102.16, 82,638.48 and 23,930 is: 35,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.16 : 82,638.48 = 23,930 : x
  2. Step 2: Convert to fraction form
    55,102.16/82,638.48 = 23,930/x
  3. Step 3: Cross multiply
    55,102.16x = 82,638.48 × 23,930
  4. Step 4: Simplify right side
    55,102.16x = 1,977,538,826.40
  5. Step 5: Solve for x
    x = 1,977,538,826.40/55,102.16
  6. Step 6: Final answer
    x = 35,888.59

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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.