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Finding the Fourth Proportional to 75,245.45, 112,877.58 and 27,852.54

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Solution

The fourth proportional to 75,245.45, 112,877.58 and 27,852.54 is: 41,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,245.45 : 112,877.58 = 27,852.54 : x
  2. Step 2: Convert to fraction form
    75,245.45/112,877.58 = 27,852.54/x
  3. Step 3: Cross multiply
    75,245.45x = 112,877.58 × 27,852.54
  4. Step 4: Simplify right side
    75,245.45x = 3,143,927,312.05
  5. Step 5: Solve for x
    x = 3,143,927,312.05/75,245.45
  6. Step 6: Final answer
    x = 41,782.29

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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.