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Finding the Fourth Proportional to 30,669.94, 45,991.24 and 21,369.72

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Solution

The fourth proportional to 30,669.94, 45,991.24 and 21,369.72 is: 32,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.94 : 45,991.24 = 21,369.72 : x
  2. Step 2: Convert to fraction form
    30,669.94/45,991.24 = 21,369.72/x
  3. Step 3: Cross multiply
    30,669.94x = 45,991.24 × 21,369.72
  4. Step 4: Simplify right side
    30,669.94x = 982,820,160.50
  5. Step 5: Solve for x
    x = 982,820,160.50/30,669.94
  6. Step 6: Final answer
    x = 32,045.06

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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.