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Finding the Fourth Proportional to 75,857.92, 104,662.34 and 45,628.11

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Solution

The fourth proportional to 75,857.92, 104,662.34 and 45,628.11 is: 62,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.92 : 104,662.34 = 45,628.11 : x
  2. Step 2: Convert to fraction form
    75,857.92/104,662.34 = 45,628.11/x
  3. Step 3: Cross multiply
    75,857.92x = 104,662.34 × 45,628.11
  4. Step 4: Simplify right side
    75,857.92x = 4,775,544,239.07
  5. Step 5: Solve for x
    x = 4,775,544,239.07/75,857.92
  6. Step 6: Final answer
    x = 62,953.80

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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.