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Finding the Fourth Proportional to 75,296.57, 103,909.29 and 41,762.57

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Solution

The fourth proportional to 75,296.57, 103,909.29 and 41,762.57 is: 57,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.57 : 103,909.29 = 41,762.57 : x
  2. Step 2: Convert to fraction form
    75,296.57/103,909.29 = 41,762.57/x
  3. Step 3: Cross multiply
    75,296.57x = 103,909.29 × 41,762.57
  4. Step 4: Simplify right side
    75,296.57x = 4,339,518,477.73
  5. Step 5: Solve for x
    x = 4,339,518,477.73/75,296.57
  6. Step 6: Final answer
    x = 57,632.36

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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.