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Finding the Fourth Proportional to 75,762.65, 104,514.02 and 57,826.52

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Solution

The fourth proportional to 75,762.65, 104,514.02 and 57,826.52 is: 79,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.65 : 104,514.02 = 57,826.52 : x
  2. Step 2: Convert to fraction form
    75,762.65/104,514.02 = 57,826.52/x
  3. Step 3: Cross multiply
    75,762.65x = 104,514.02 × 57,826.52
  4. Step 4: Simplify right side
    75,762.65x = 6,043,682,067.81
  5. Step 5: Solve for x
    x = 6,043,682,067.81/75,762.65
  6. Step 6: Final answer
    x = 79,771.26

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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.