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Finding the Fourth Proportional to 49,492.84, 74,223.42 and 16,203.88

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Solution

The fourth proportional to 49,492.84, 74,223.42 and 16,203.88 is: 24,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492.84 : 74,223.42 = 16,203.88 : x
  2. Step 2: Convert to fraction form
    49,492.84/74,223.42 = 16,203.88/x
  3. Step 3: Cross multiply
    49,492.84x = 74,223.42 × 16,203.88
  4. Step 4: Simplify right side
    49,492.84x = 1,202,707,390.87
  5. Step 5: Solve for x
    x = 1,202,707,390.87/49,492.84
  6. Step 6: Final answer
    x = 24,300.63

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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.