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Finding the Fourth Proportional to 33,324, 45,988.12 and 18,216.32

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Solution

The fourth proportional to 33,324, 45,988.12 and 18,216.32 is: 25,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,324 : 45,988.12 = 18,216.32 : x
  2. Step 2: Convert to fraction form
    33,324/45,988.12 = 18,216.32/x
  3. Step 3: Cross multiply
    33,324x = 45,988.12 × 18,216.32
  4. Step 4: Simplify right side
    33,324x = 837,734,310.12
  5. Step 5: Solve for x
    x = 837,734,310.12/33,324
  6. Step 6: Final answer
    x = 25,139.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.