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Finding the Fourth Proportional to 49,784.48, 74,687.12 and 16,502.56

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Solution

The fourth proportional to 49,784.48, 74,687.12 and 16,502.56 is: 24,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.48 : 74,687.12 = 16,502.56 : x
  2. Step 2: Convert to fraction form
    49,784.48/74,687.12 = 16,502.56/x
  3. Step 3: Cross multiply
    49,784.48x = 74,687.12 × 16,502.56
  4. Step 4: Simplify right side
    49,784.48x = 1,232,528,679.03
  5. Step 5: Solve for x
    x = 1,232,528,679.03/49,784.48
  6. Step 6: Final answer
    x = 24,757.29

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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.