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Finding the Fourth Proportional to 49,634.78, 68,468.24 and 30,501.25

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Solution

The fourth proportional to 49,634.78, 68,468.24 and 30,501.25 is: 42,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,634.78 : 68,468.24 = 30,501.25 : x
  2. Step 2: Convert to fraction form
    49,634.78/68,468.24 = 30,501.25/x
  3. Step 3: Cross multiply
    49,634.78x = 68,468.24 × 30,501.25
  4. Step 4: Simplify right side
    49,634.78x = 2,088,366,810.38
  5. Step 5: Solve for x
    x = 2,088,366,810.38/49,634.78
  6. Step 6: Final answer
    x = 42,074.67

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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.