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Finding the Fourth Proportional to 33,206.40, 45,824 and 18,302.08

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Solution

The fourth proportional to 33,206.40, 45,824 and 18,302.08 is: 25,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.40 : 45,824 = 18,302.08 : x
  2. Step 2: Convert to fraction form
    33,206.40/45,824 = 18,302.08/x
  3. Step 3: Cross multiply
    33,206.40x = 45,824 × 18,302.08
  4. Step 4: Simplify right side
    33,206.40x = 838,674,513.92
  5. Step 5: Solve for x
    x = 838,674,513.92/33,206.40
  6. Step 6: Final answer
    x = 25,256.41

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