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Finding the Fourth Proportional to 81,109.76, 111,932 and 45,302.96

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Solution

The fourth proportional to 81,109.76, 111,932 and 45,302.96 is: 62,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,109.76 : 111,932 = 45,302.96 : x
  2. Step 2: Convert to fraction form
    81,109.76/111,932 = 45,302.96/x
  3. Step 3: Cross multiply
    81,109.76x = 111,932 × 45,302.96
  4. Step 4: Simplify right side
    81,109.76x = 5,070,850,918.72
  5. Step 5: Solve for x
    x = 5,070,850,918.72/81,109.76
  6. Step 6: Final answer
    x = 62,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.