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Finding the Fourth Proportional to 75,802.33, 113,729.72 and 25,917.54

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Solution

The fourth proportional to 75,802.33, 113,729.72 and 25,917.54 is: 38,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.33 : 113,729.72 = 25,917.54 : x
  2. Step 2: Convert to fraction form
    75,802.33/113,729.72 = 25,917.54/x
  3. Step 3: Cross multiply
    75,802.33x = 113,729.72 × 25,917.54
  4. Step 4: Simplify right side
    75,802.33x = 2,947,594,011.21
  5. Step 5: Solve for x
    x = 2,947,594,011.21/75,802.33
  6. Step 6: Final answer
    x = 38,885.27

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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.