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Finding the Fourth Proportional to 50,028.25, 75,005.11 and 30,302.05

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Solution

The fourth proportional to 50,028.25, 75,005.11 and 30,302.05 is: 45,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,028.25 : 75,005.11 = 30,302.05 : x
  2. Step 2: Convert to fraction form
    50,028.25/75,005.11 = 30,302.05/x
  3. Step 3: Cross multiply
    50,028.25x = 75,005.11 × 30,302.05
  4. Step 4: Simplify right side
    50,028.25x = 2,272,808,142.69
  5. Step 5: Solve for x
    x = 2,272,808,142.69/50,028.25
  6. Step 6: Final answer
    x = 45,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.