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Finding the Fourth Proportional to 49,883.48, 74,825.04 and 12,947.48

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Solution

The fourth proportional to 49,883.48, 74,825.04 and 12,947.48 is: 19,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883.48 : 74,825.04 = 12,947.48 : x
  2. Step 2: Convert to fraction form
    49,883.48/74,825.04 = 12,947.48/x
  3. Step 3: Cross multiply
    49,883.48x = 74,825.04 × 12,947.48
  4. Step 4: Simplify right side
    49,883.48x = 968,795,708.90
  5. Step 5: Solve for x
    x = 968,795,708.90/49,883.48
  6. Step 6: Final answer
    x = 19,421.17

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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.