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Finding the Fourth Proportional to 38,678.34, 53,376.20 and 21,911.34

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Solution

The fourth proportional to 38,678.34, 53,376.20 and 21,911.34 is: 30,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678.34 : 53,376.20 = 21,911.34 : x
  2. Step 2: Convert to fraction form
    38,678.34/53,376.20 = 21,911.34/x
  3. Step 3: Cross multiply
    38,678.34x = 53,376.20 × 21,911.34
  4. Step 4: Simplify right side
    38,678.34x = 1,169,543,956.55
  5. Step 5: Solve for x
    x = 1,169,543,956.55/38,678.34
  6. Step 6: Final answer
    x = 30,237.70

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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.