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Finding the Fourth Proportional to 49,502.13, 74,234.93 and 21,426.27

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Solution

The fourth proportional to 49,502.13, 74,234.93 and 21,426.27 is: 32,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502.13 : 74,234.93 = 21,426.27 : x
  2. Step 2: Convert to fraction form
    49,502.13/74,234.93 = 21,426.27/x
  3. Step 3: Cross multiply
    49,502.13x = 74,234.93 × 21,426.27
  4. Step 4: Simplify right side
    49,502.13x = 1,590,577,546.48
  5. Step 5: Solve for x
    x = 1,590,577,546.48/49,502.13
  6. Step 6: Final answer
    x = 32,131.50

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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.