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Finding the Fourth Proportional to 38,842.50, 53,606.76 and 23,744

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Solution

The fourth proportional to 38,842.50, 53,606.76 and 23,744 is: 32,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.50 : 53,606.76 = 23,744 : x
  2. Step 2: Convert to fraction form
    38,842.50/53,606.76 = 23,744/x
  3. Step 3: Cross multiply
    38,842.50x = 53,606.76 × 23,744
  4. Step 4: Simplify right side
    38,842.50x = 1,272,838,909.44
  5. Step 5: Solve for x
    x = 1,272,838,909.44/38,842.50
  6. Step 6: Final answer
    x = 32,769.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.