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Finding the Fourth Proportional to 75,160.60, 103,738.68 and 46,860.82

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Solution

The fourth proportional to 75,160.60, 103,738.68 and 46,860.82 is: 64,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160.60 : 103,738.68 = 46,860.82 : x
  2. Step 2: Convert to fraction form
    75,160.60/103,738.68 = 46,860.82/x
  3. Step 3: Cross multiply
    75,160.60x = 103,738.68 × 46,860.82
  4. Step 4: Simplify right side
    75,160.60x = 4,861,279,610.52
  5. Step 5: Solve for x
    x = 4,861,279,610.52/75,160.60
  6. Step 6: Final answer
    x = 64,678.56

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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.