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Finding the Fourth Proportional to 49,505.84, 74,262.28 and 19,923.84

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Solution

The fourth proportional to 49,505.84, 74,262.28 and 19,923.84 is: 29,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,505.84 : 74,262.28 = 19,923.84 : x
  2. Step 2: Convert to fraction form
    49,505.84/74,262.28 = 19,923.84/x
  3. Step 3: Cross multiply
    49,505.84x = 74,262.28 × 19,923.84
  4. Step 4: Simplify right side
    49,505.84x = 1,479,589,784.76
  5. Step 5: Solve for x
    x = 1,479,589,784.76/49,505.84
  6. Step 6: Final answer
    x = 29,887.18

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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.