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Finding the Fourth Proportional to 49,274.78, 73,904.07 and 14,205.02

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Solution

The fourth proportional to 49,274.78, 73,904.07 and 14,205.02 is: 21,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274.78 : 73,904.07 = 14,205.02 : x
  2. Step 2: Convert to fraction form
    49,274.78/73,904.07 = 14,205.02/x
  3. Step 3: Cross multiply
    49,274.78x = 73,904.07 × 14,205.02
  4. Step 4: Simplify right side
    49,274.78x = 1,049,808,792.43
  5. Step 5: Solve for x
    x = 1,049,808,792.43/49,274.78
  6. Step 6: Final answer
    x = 21,305.19

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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.