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Finding the Fourth Proportional to 30,659.11, 45,924.03 and 14,033.12

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Solution

The fourth proportional to 30,659.11, 45,924.03 and 14,033.12 is: 21,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.11 : 45,924.03 = 14,033.12 : x
  2. Step 2: Convert to fraction form
    30,659.11/45,924.03 = 14,033.12/x
  3. Step 3: Cross multiply
    30,659.11x = 45,924.03 × 14,033.12
  4. Step 4: Simplify right side
    30,659.11x = 644,457,194.25
  5. Step 5: Solve for x
    x = 644,457,194.25/30,659.11
  6. Step 6: Final answer
    x = 21,020.09

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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.