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Finding the Fourth Proportional to 38,838.67, 53,596.85 and 21,842.91

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Solution

The fourth proportional to 38,838.67, 53,596.85 and 21,842.91 is: 30,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838.67 : 53,596.85 = 21,842.91 : x
  2. Step 2: Convert to fraction form
    38,838.67/53,596.85 = 21,842.91/x
  3. Step 3: Cross multiply
    38,838.67x = 53,596.85 × 21,842.91
  4. Step 4: Simplify right side
    38,838.67x = 1,170,711,170.83
  5. Step 5: Solve for x
    x = 1,170,711,170.83/38,838.67
  6. Step 6: Final answer
    x = 30,142.93

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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.