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Finding the Fourth Proportional to 49,270.36, 73,894.74 and 14,202.40

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Solution

The fourth proportional to 49,270.36, 73,894.74 and 14,202.40 is: 21,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270.36 : 73,894.74 = 14,202.40 : x
  2. Step 2: Convert to fraction form
    49,270.36/73,894.74 = 14,202.40/x
  3. Step 3: Cross multiply
    49,270.36x = 73,894.74 × 14,202.40
  4. Step 4: Simplify right side
    49,270.36x = 1,049,482,655.38
  5. Step 5: Solve for x
    x = 1,049,482,655.38/49,270.36
  6. Step 6: Final answer
    x = 21,300.49

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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.