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Finding the Fourth Proportional to 49,952.84, 74,880.56 and 19,958.14

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Solution

The fourth proportional to 49,952.84, 74,880.56 and 19,958.14 is: 29,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.84 : 74,880.56 = 19,958.14 : x
  2. Step 2: Convert to fraction form
    49,952.84/74,880.56 = 19,958.14/x
  3. Step 3: Cross multiply
    49,952.84x = 74,880.56 × 19,958.14
  4. Step 4: Simplify right side
    49,952.84x = 1,494,476,562.45
  5. Step 5: Solve for x
    x = 1,494,476,562.45/49,952.84
  6. Step 6: Final answer
    x = 29,917.75

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1.5x scale

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.