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Finding the Fourth Proportional to 30,076.88, 45,119.64 and 9,302

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Solution

The fourth proportional to 30,076.88, 45,119.64 and 9,302 is: 13,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.88 : 45,119.64 = 9,302 : x
  2. Step 2: Convert to fraction form
    30,076.88/45,119.64 = 9,302/x
  3. Step 3: Cross multiply
    30,076.88x = 45,119.64 × 9,302
  4. Step 4: Simplify right side
    30,076.88x = 419,702,891.28
  5. Step 5: Solve for x
    x = 419,702,891.28/30,076.88
  6. Step 6: Final answer
    x = 13,954.34

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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.