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Finding the Fourth Proportional to 30,252.84, 41,748.71 and 16,824.03

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Solution

The fourth proportional to 30,252.84, 41,748.71 and 16,824.03 is: 23,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.84 : 41,748.71 = 16,824.03 : x
  2. Step 2: Convert to fraction form
    30,252.84/41,748.71 = 16,824.03/x
  3. Step 3: Cross multiply
    30,252.84x = 41,748.71 × 16,824.03
  4. Step 4: Simplify right side
    30,252.84x = 702,381,465.38
  5. Step 5: Solve for x
    x = 702,381,465.38/30,252.84
  6. Step 6: Final answer
    x = 23,217.04

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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.