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Finding the Fourth Proportional to 38,342.70, 52,911.63 and 21,572.46

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Solution

The fourth proportional to 38,342.70, 52,911.63 and 21,572.46 is: 29,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.70 : 52,911.63 = 21,572.46 : x
  2. Step 2: Convert to fraction form
    38,342.70/52,911.63 = 21,572.46/x
  3. Step 3: Cross multiply
    38,342.70x = 52,911.63 × 21,572.46
  4. Step 4: Simplify right side
    38,342.70x = 1,141,434,021.71
  5. Step 5: Solve for x
    x = 1,141,434,021.71/38,342.70
  6. Step 6: Final answer
    x = 29,769.27

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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.