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Finding the Fourth Proportional to 29,964.96, 44,921.52 and 11,484

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Solution

The fourth proportional to 29,964.96, 44,921.52 and 11,484 is: 17,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964.96 : 44,921.52 = 11,484 : x
  2. Step 2: Convert to fraction form
    29,964.96/44,921.52 = 11,484/x
  3. Step 3: Cross multiply
    29,964.96x = 44,921.52 × 11,484
  4. Step 4: Simplify right side
    29,964.96x = 515,878,735.68
  5. Step 5: Solve for x
    x = 515,878,735.68/29,964.96
  6. Step 6: Final answer
    x = 17,216.07

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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.