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Finding the Fourth Proportional to 75,415.58, 104,122.25 and 46,765.68

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Solution

The fourth proportional to 75,415.58, 104,122.25 and 46,765.68 is: 64,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.58 : 104,122.25 = 46,765.68 : x
  2. Step 2: Convert to fraction form
    75,415.58/104,122.25 = 46,765.68/x
  3. Step 3: Cross multiply
    75,415.58x = 104,122.25 × 46,765.68
  4. Step 4: Simplify right side
    75,415.58x = 4,869,347,824.38
  5. Step 5: Solve for x
    x = 4,869,347,824.38/75,415.58
  6. Step 6: Final answer
    x = 64,566.87

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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.