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Finding the Fourth Proportional to 75,459, 104,133.83 and 41,925

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Solution

The fourth proportional to 75,459, 104,133.83 and 41,925 is: 57,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459 : 104,133.83 = 41,925 : x
  2. Step 2: Convert to fraction form
    75,459/104,133.83 = 41,925/x
  3. Step 3: Cross multiply
    75,459x = 104,133.83 × 41,925
  4. Step 4: Simplify right side
    75,459x = 4,365,810,613.13
  5. Step 5: Solve for x
    x = 4,365,810,613.13/75,459
  6. Step 6: Final answer
    x = 57,856.73

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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.